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Finding the Third Proportional to 402,567.47 and 868,186.69

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Solution

The third proportional to 402,567.47 and 868,186.69 is: 1,872,352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,567.47 : 868,186.69 = 868,186.69 : x
  2. Step 2: Convert to fraction form
    402,567.47/868,186.69 = 868,186.69/x
  3. Step 3: Cross multiply
    402,567.47x = 868,186.69 × 868,186.69
  4. Step 4: Simplify right side
    402,567.47x = 753,748,124,352.22
  5. Step 5: Solve for x
    x = 753,748,124,352.22/402,567.47
  6. Step 6: Final answer
    x = 1,872,352.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.