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Finding the Third Proportional to 509,389,488 and 807,894,217.50

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Solution

The third proportional to 509,389,488 and 807,894,217.50 is: 1,281,324,177.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,389,488 : 807,894,217.50 = 807,894,217.50 : x
  2. Step 2: Convert to fraction form
    509,389,488/807,894,217.50 = 807,894,217.50/x
  3. Step 3: Cross multiply
    509,389,488x = 807,894,217.50 × 807,894,217.50
  4. Step 4: Simplify right side
    509,389,488x = 652,693,066,669,937,280
  5. Step 5: Solve for x
    x = 652,693,066,669,937,280/509,389,488
  6. Step 6: Final answer
    x = 1,281,324,177.36

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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.