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Finding the Third Proportional to 243,270.50 and 387,391

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Solution

The third proportional to 243,270.50 and 387,391 is: 616,892.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,270.50 : 387,391 = 387,391 : x
  2. Step 2: Convert to fraction form
    243,270.50/387,391 = 387,391/x
  3. Step 3: Cross multiply
    243,270.50x = 387,391 × 387,391
  4. Step 4: Simplify right side
    243,270.50x = 150,071,786,881
  5. Step 5: Solve for x
    x = 150,071,786,881/243,270.50
  6. Step 6: Final answer
    x = 616,892.66

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.