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Finding the Third Proportional to 451,677.75 and 665,038.13

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Solution

The third proportional to 451,677.75 and 665,038.13 is: 979,184.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,677.75 : 665,038.13 = 665,038.13 : x
  2. Step 2: Convert to fraction form
    451,677.75/665,038.13 = 665,038.13/x
  3. Step 3: Cross multiply
    451,677.75x = 665,038.13 × 665,038.13
  4. Step 4: Simplify right side
    451,677.75x = 442,275,707,703.52
  5. Step 5: Solve for x
    x = 442,275,707,703.52/451,677.75
  6. Step 6: Final answer
    x = 979,184.18

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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.