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Finding the Third Proportional to 292,921.31 and 442,525.78

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Solution

The third proportional to 292,921.31 and 442,525.78 is: 668,538.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,921.31 : 442,525.78 = 442,525.78 : x
  2. Step 2: Convert to fraction form
    292,921.31/442,525.78 = 442,525.78/x
  3. Step 3: Cross multiply
    292,921.31x = 442,525.78 × 442,525.78
  4. Step 4: Simplify right side
    292,921.31x = 195,829,067,070.92
  5. Step 5: Solve for x
    x = 195,829,067,070.92/292,921.31
  6. Step 6: Final answer
    x = 668,538.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.