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Finding the Third Proportional to 342,721.13 and 535,951.69

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Solution

The third proportional to 342,721.13 and 535,951.69 is: 838,128.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    342,721.13 : 535,951.69 = 535,951.69 : x
  2. Step 2: Convert to fraction form
    342,721.13/535,951.69 = 535,951.69/x
  3. Step 3: Cross multiply
    342,721.13x = 535,951.69 × 535,951.69
  4. Step 4: Simplify right side
    342,721.13x = 287,244,211,334.10
  5. Step 5: Solve for x
    x = 287,244,211,334.10/342,721.13
  6. Step 6: Final answer
    x = 838,128.12

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.