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Finding the Third Proportional to 642,893.50 and 875,651

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Solution

The third proportional to 642,893.50 and 875,651 is: 1,192,677.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,893.50 : 875,651 = 875,651 : x
  2. Step 2: Convert to fraction form
    642,893.50/875,651 = 875,651/x
  3. Step 3: Cross multiply
    642,893.50x = 875,651 × 875,651
  4. Step 4: Simplify right side
    642,893.50x = 766,764,673,801
  5. Step 5: Solve for x
    x = 766,764,673,801/642,893.50
  6. Step 6: Final answer
    x = 1,192,677.60

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.