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Finding the Third Proportional to 442,320.75 and 671,689.13

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Solution

The third proportional to 442,320.75 and 671,689.13 is: 1,019,998.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,320.75 : 671,689.13 = 671,689.13 : x
  2. Step 2: Convert to fraction form
    442,320.75/671,689.13 = 671,689.13/x
  3. Step 3: Cross multiply
    442,320.75x = 671,689.13 × 671,689.13
  4. Step 4: Simplify right side
    442,320.75x = 451,166,280,643.27
  5. Step 5: Solve for x
    x = 451,166,280,643.27/442,320.75
  6. Step 6: Final answer
    x = 1,019,998.00

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.