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Finding the Third Proportional to 121,429.76 and 158,762.53

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Solution

The third proportional to 121,429.76 and 158,762.53 is: 207,573.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,429.76 : 158,762.53 = 158,762.53 : x
  2. Step 2: Convert to fraction form
    121,429.76/158,762.53 = 158,762.53/x
  3. Step 3: Cross multiply
    121,429.76x = 158,762.53 × 158,762.53
  4. Step 4: Simplify right side
    121,429.76x = 25,205,541,328.91
  5. Step 5: Solve for x
    x = 25,205,541,328.91/121,429.76
  6. Step 6: Final answer
    x = 207,573.02

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.