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Finding the Third Proportional to 634,806 and 861,174

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Solution

The third proportional to 634,806 and 861,174 is: 1,168,263.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    634,806 : 861,174 = 861,174 : x
  2. Step 2: Convert to fraction form
    634,806/861,174 = 861,174/x
  3. Step 3: Cross multiply
    634,806x = 861,174 × 861,174
  4. Step 4: Simplify right side
    634,806x = 741,620,658,276
  5. Step 5: Solve for x
    x = 741,620,658,276/634,806
  6. Step 6: Final answer
    x = 1,168,263.47

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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.