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Finding the Third Proportional to 488,280 and 731,938

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Solution

The third proportional to 488,280 and 731,938 is: 1,097,184.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    488,280 : 731,938 = 731,938 : x
  2. Step 2: Convert to fraction form
    488,280/731,938 = 731,938/x
  3. Step 3: Cross multiply
    488,280x = 731,938 × 731,938
  4. Step 4: Simplify right side
    488,280x = 535,733,235,844
  5. Step 5: Solve for x
    x = 535,733,235,844/488,280
  6. Step 6: Final answer
    x = 1,097,184.48

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.