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Finding the Third Proportional to 253,780,940 and 382,351,602

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Solution

The third proportional to 253,780,940 and 382,351,602 is: 576,058,814.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,780,940 : 382,351,602 = 382,351,602 : x
  2. Step 2: Convert to fraction form
    253,780,940/382,351,602 = 382,351,602/x
  3. Step 3: Cross multiply
    253,780,940x = 382,351,602 × 382,351,602
  4. Step 4: Simplify right side
    253,780,940x = 146,192,747,551,966,400
  5. Step 5: Solve for x
    x = 146,192,747,551,966,400/253,780,940
  6. Step 6: Final answer
    x = 576,058,814.94

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.