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Finding the Third Proportional to 131,586,106 and 285,138,428

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Solution

The third proportional to 131,586,106 and 285,138,428 is: 617,876,199.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,586,106 : 285,138,428 = 285,138,428 : x
  2. Step 2: Convert to fraction form
    131,586,106/285,138,428 = 285,138,428/x
  3. Step 3: Cross multiply
    131,586,106x = 285,138,428 × 285,138,428
  4. Step 4: Simplify right side
    131,586,106x = 81,303,923,122,311,184
  5. Step 5: Solve for x
    x = 81,303,923,122,311,184/131,586,106
  6. Step 6: Final answer
    x = 617,876,199.80

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.