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Finding the Third Proportional to 509,389,491 and 807,894,222

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Solution

The third proportional to 509,389,491 and 807,894,222 is: 1,281,324,184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,389,491 : 807,894,222 = 807,894,222 : x
  2. Step 2: Convert to fraction form
    509,389,491/807,894,222 = 807,894,222/x
  3. Step 3: Cross multiply
    509,389,491x = 807,894,222 × 807,894,222
  4. Step 4: Simplify right side
    509,389,491x = 652,693,073,940,985,344
  5. Step 5: Solve for x
    x = 652,693,073,940,985,344/509,389,491
  6. Step 6: Final answer
    x = 1,281,324,184.09

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.