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Finding the Third Proportional to 231,140 and 497,272

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Solution

The third proportional to 231,140 and 497,272 is: 1,069,825.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    231,140 : 497,272 = 497,272 : x
  2. Step 2: Convert to fraction form
    231,140/497,272 = 497,272/x
  3. Step 3: Cross multiply
    231,140x = 497,272 × 497,272
  4. Step 4: Simplify right side
    231,140x = 247,279,441,984
  5. Step 5: Solve for x
    x = 247,279,441,984/231,140
  6. Step 6: Final answer
    x = 1,069,825.40

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.