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Finding the Third Proportional to 429,603.50 and 631,251.50

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Solution

The third proportional to 429,603.50 and 631,251.50 is: 927,549.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,603.50 : 631,251.50 = 631,251.50 : x
  2. Step 2: Convert to fraction form
    429,603.50/631,251.50 = 631,251.50/x
  3. Step 3: Cross multiply
    429,603.50x = 631,251.50 × 631,251.50
  4. Step 4: Simplify right side
    429,603.50x = 398,478,456,252.25
  5. Step 5: Solve for x
    x = 398,478,456,252.25/429,603.50
  6. Step 6: Final answer
    x = 927,549.37

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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.