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Finding the Third Proportional to 292,419 and 428,251.50

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Solution

The third proportional to 292,419 and 428,251.50 is: 627,180.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,419 : 428,251.50 = 428,251.50 : x
  2. Step 2: Convert to fraction form
    292,419/428,251.50 = 428,251.50/x
  3. Step 3: Cross multiply
    292,419x = 428,251.50 × 428,251.50
  4. Step 4: Simplify right side
    292,419x = 183,399,347,252.25
  5. Step 5: Solve for x
    x = 183,399,347,252.25/292,419
  6. Step 6: Final answer
    x = 627,180.00

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.