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Finding the Third Proportional to 347,920 and 538,715

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Solution

The third proportional to 347,920 and 538,715 is: 834,139.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    347,920 : 538,715 = 538,715 : x
  2. Step 2: Convert to fraction form
    347,920/538,715 = 538,715/x
  3. Step 3: Cross multiply
    347,920x = 538,715 × 538,715
  4. Step 4: Simplify right side
    347,920x = 290,213,851,225
  5. Step 5: Solve for x
    x = 290,213,851,225/347,920
  6. Step 6: Final answer
    x = 834,139.60

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.