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Finding the Third Proportional to 555,470 and 743,238

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Solution

The third proportional to 555,470 and 743,238 is: 994,478.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,470 : 743,238 = 743,238 : x
  2. Step 2: Convert to fraction form
    555,470/743,238 = 743,238/x
  3. Step 3: Cross multiply
    555,470x = 743,238 × 743,238
  4. Step 4: Simplify right side
    555,470x = 552,402,724,644
  5. Step 5: Solve for x
    x = 552,402,724,644/555,470
  6. Step 6: Final answer
    x = 994,478.05

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.