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Finding the Third Proportional to 247,136 and 539,578

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Solution

The third proportional to 247,136 and 539,578 is: 1,178,073.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    247,136 : 539,578 = 539,578 : x
  2. Step 2: Convert to fraction form
    247,136/539,578 = 539,578/x
  3. Step 3: Cross multiply
    247,136x = 539,578 × 539,578
  4. Step 4: Simplify right side
    247,136x = 291,144,418,084
  5. Step 5: Solve for x
    x = 291,144,418,084/247,136
  6. Step 6: Final answer
    x = 1,178,073.68

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.