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Finding the Third Proportional to 170,752.50 and 256,678.88

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Solution

The third proportional to 170,752.50 and 256,678.88 is: 385,845.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,752.50 : 256,678.88 = 256,678.88 : x
  2. Step 2: Convert to fraction form
    170,752.50/256,678.88 = 256,678.88/x
  3. Step 3: Cross multiply
    170,752.50x = 256,678.88 × 256,678.88
  4. Step 4: Simplify right side
    170,752.50x = 65,884,044,871.27
  5. Step 5: Solve for x
    x = 65,884,044,871.27/170,752.50
  6. Step 6: Final answer
    x = 385,845.27

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.