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Finding the Third Proportional to 257,300,569 and 397,572,038

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Solution

The third proportional to 257,300,569 and 397,572,038 is: 614,314,713.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    257,300,569 : 397,572,038 = 397,572,038 : x
  2. Step 2: Convert to fraction form
    257,300,569/397,572,038 = 397,572,038/x
  3. Step 3: Cross multiply
    257,300,569x = 397,572,038 × 397,572,038
  4. Step 4: Simplify right side
    257,300,569x = 158,063,525,399,473,440
  5. Step 5: Solve for x
    x = 158,063,525,399,473,440/257,300,569
  6. Step 6: Final answer
    x = 614,314,713.78

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.