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Finding the Third Proportional to 509,389,485 and 807,894,213

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Solution

The third proportional to 509,389,485 and 807,894,213 is: 1,281,324,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    509,389,485 : 807,894,213 = 807,894,213 : x
  2. Step 2: Convert to fraction form
    509,389,485/807,894,213 = 807,894,213/x
  3. Step 3: Cross multiply
    509,389,485x = 807,894,213 × 807,894,213
  4. Step 4: Simplify right side
    509,389,485x = 652,693,059,398,889,344
  5. Step 5: Solve for x
    x = 652,693,059,398,889,344/509,389,485
  6. Step 6: Final answer
    x = 1,281,324,170.64

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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.