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Finding the Third Proportional to 132,746,110,689 and 291,969,990,415

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Solution

The third proportional to 132,746,110,689 and 291,969,990,415 is: 642,176,820,552.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,746,110,689 : 291,969,990,415 = 291,969,990,415 : x
  2. Step 2: Convert to fraction form
    132,746,110,689/291,969,990,415 = 291,969,990,415/x
  3. Step 3: Cross multiply
    132,746,110,689x = 291,969,990,415 × 291,969,990,415
  4. Step 4: Simplify right side
    132,746,110,689x = 85,246,475,302,935,191,355,392
  5. Step 5: Solve for x
    x = 85,246,475,302,935,191,355,392/132,746,110,689
  6. Step 6: Final answer
    x = 642,176,820,552.22

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.