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Finding the Third Proportional to 642,897 and 875,655

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Solution

The third proportional to 642,897 and 875,655 is: 1,192,682.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,897 : 875,655 = 875,655 : x
  2. Step 2: Convert to fraction form
    642,897/875,655 = 875,655/x
  3. Step 3: Cross multiply
    642,897x = 875,655 × 875,655
  4. Step 4: Simplify right side
    642,897x = 766,771,679,025
  5. Step 5: Solve for x
    x = 766,771,679,025/642,897
  6. Step 6: Final answer
    x = 1,192,682.00

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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.