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Finding the Third Proportional to 642,238 and 1,000,117

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Solution

The third proportional to 642,238 and 1,000,117 is: 1,557,419.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,238 : 1,000,117 = 1,000,117 : x
  2. Step 2: Convert to fraction form
    642,238/1,000,117 = 1,000,117/x
  3. Step 3: Cross multiply
    642,238x = 1,000,117 × 1,000,117
  4. Step 4: Simplify right side
    642,238x = 1,000,234,013,689
  5. Step 5: Solve for x
    x = 1,000,234,013,689/642,238
  6. Step 6: Final answer
    x = 1,557,419.54

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.