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Finding the Third Proportional to 642,233 and 1,000,110

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Solution

The third proportional to 642,233 and 1,000,110 is: 1,557,409.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,233 : 1,000,110 = 1,000,110 : x
  2. Step 2: Convert to fraction form
    642,233/1,000,110 = 1,000,110/x
  3. Step 3: Cross multiply
    642,233x = 1,000,110 × 1,000,110
  4. Step 4: Simplify right side
    642,233x = 1,000,220,012,100
  5. Step 5: Solve for x
    x = 1,000,220,012,100/642,233
  6. Step 6: Final answer
    x = 1,557,409.87

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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.