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Finding the Third Proportional to 60,397.50 and 128,574

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Solution

The third proportional to 60,397.50 and 128,574 is: 273,707.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,397.50 : 128,574 = 128,574 : x
  2. Step 2: Convert to fraction form
    60,397.50/128,574 = 128,574/x
  3. Step 3: Cross multiply
    60,397.50x = 128,574 × 128,574
  4. Step 4: Simplify right side
    60,397.50x = 16,531,273,476
  5. Step 5: Solve for x
    x = 16,531,273,476/60,397.50
  6. Step 6: Final answer
    x = 273,707.91

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.