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Finding the Third Proportional to 243,569 and 357,780

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Solution

The third proportional to 243,569 and 357,780 is: 525,545.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,569 : 357,780 = 357,780 : x
  2. Step 2: Convert to fraction form
    243,569/357,780 = 357,780/x
  3. Step 3: Cross multiply
    243,569x = 357,780 × 357,780
  4. Step 4: Simplify right side
    243,569x = 128,006,528,400
  5. Step 5: Solve for x
    x = 128,006,528,400/243,569
  6. Step 6: Final answer
    x = 525,545.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.