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Finding the Third Proportional to 131,680,746 and 289,426,887

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Solution

The third proportional to 131,680,746 and 289,426,887 is: 636,144,048.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,680,746 : 289,426,887 = 289,426,887 : x
  2. Step 2: Convert to fraction form
    131,680,746/289,426,887 = 289,426,887/x
  3. Step 3: Cross multiply
    131,680,746x = 289,426,887 × 289,426,887
  4. Step 4: Simplify right side
    131,680,746x = 83,767,922,918,510,768
  5. Step 5: Solve for x
    x = 83,767,922,918,510,768/131,680,746
  6. Step 6: Final answer
    x = 636,144,048.87

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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.