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Finding the Third Proportional to 497,310 and 763,140

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Solution

The third proportional to 497,310 and 763,140 is: 1,171,065.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,310 : 763,140 = 763,140 : x
  2. Step 2: Convert to fraction form
    497,310/763,140 = 763,140/x
  3. Step 3: Cross multiply
    497,310x = 763,140 × 763,140
  4. Step 4: Simplify right side
    497,310x = 582,382,659,600
  5. Step 5: Solve for x
    x = 582,382,659,600/497,310
  6. Step 6: Final answer
    x = 1,171,065.65

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.