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Finding the Third Proportional to 642,078 and 953,874

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Solution

The third proportional to 642,078 and 953,874 is: 1,417,079.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,078 : 953,874 = 953,874 : x
  2. Step 2: Convert to fraction form
    642,078/953,874 = 953,874/x
  3. Step 3: Cross multiply
    642,078x = 953,874 × 953,874
  4. Step 4: Simplify right side
    642,078x = 909,875,607,876
  5. Step 5: Solve for x
    x = 909,875,607,876/642,078
  6. Step 6: Final answer
    x = 1,417,079.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.