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Finding the Third Proportional to 287,451.28 and 604,695.38

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Solution

The third proportional to 287,451.28 and 604,695.38 is: 1,272,064.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,451.28 : 604,695.38 = 604,695.38 : x
  2. Step 2: Convert to fraction form
    287,451.28/604,695.38 = 604,695.38/x
  3. Step 3: Cross multiply
    287,451.28x = 604,695.38 × 604,695.38
  4. Step 4: Simplify right side
    287,451.28x = 365,656,496,546.39
  5. Step 5: Solve for x
    x = 365,656,496,546.39/287,451.28
  6. Step 6: Final answer
    x = 1,272,064.24

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.