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Finding the Third Proportional to 243,143.25 and 390,663

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Solution

The third proportional to 243,143.25 and 390,663 is: 627,685.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,143.25 : 390,663 = 390,663 : x
  2. Step 2: Convert to fraction form
    243,143.25/390,663 = 390,663/x
  3. Step 3: Cross multiply
    243,143.25x = 390,663 × 390,663
  4. Step 4: Simplify right side
    243,143.25x = 152,617,579,569
  5. Step 5: Solve for x
    x = 152,617,579,569/243,143.25
  6. Step 6: Final answer
    x = 627,685.86

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.