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Finding the Third Proportional to 243,275.50 and 387,398.50

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Solution

The third proportional to 243,275.50 and 387,398.50 is: 616,903.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,275.50 : 387,398.50 = 387,398.50 : x
  2. Step 2: Convert to fraction form
    243,275.50/387,398.50 = 387,398.50/x
  3. Step 3: Cross multiply
    243,275.50x = 387,398.50 × 387,398.50
  4. Step 4: Simplify right side
    243,275.50x = 150,077,597,802.25
  5. Step 5: Solve for x
    x = 150,077,597,802.25/243,275.50
  6. Step 6: Final answer
    x = 616,903.87

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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.