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Finding the Third Proportional to 402,579 and 868,210

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Solution

The third proportional to 402,579 and 868,210 is: 1,872,399.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,579 : 868,210 = 868,210 : x
  2. Step 2: Convert to fraction form
    402,579/868,210 = 868,210/x
  3. Step 3: Cross multiply
    402,579x = 868,210 × 868,210
  4. Step 4: Simplify right side
    402,579x = 753,788,604,100
  5. Step 5: Solve for x
    x = 753,788,604,100/402,579
  6. Step 6: Final answer
    x = 1,872,399.22

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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.