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Finding the Third Proportional to 292,426.13 and 428,500.50

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Solution

The third proportional to 292,426.13 and 428,500.50 is: 627,894.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,426.13 : 428,500.50 = 428,500.50 : x
  2. Step 2: Convert to fraction form
    292,426.13/428,500.50 = 428,500.50/x
  3. Step 3: Cross multiply
    292,426.13x = 428,500.50 × 428,500.50
  4. Step 4: Simplify right side
    292,426.13x = 183,612,678,500.25
  5. Step 5: Solve for x
    x = 183,612,678,500.25/292,426.13
  6. Step 6: Final answer
    x = 627,894.24

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.