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Finding the Third Proportional to 391,428 and 544,646

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Solution

The third proportional to 391,428 and 544,646 is: 757,838.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    391,428 : 544,646 = 544,646 : x
  2. Step 2: Convert to fraction form
    391,428/544,646 = 544,646/x
  3. Step 3: Cross multiply
    391,428x = 544,646 × 544,646
  4. Step 4: Simplify right side
    391,428x = 296,639,265,316
  5. Step 5: Solve for x
    x = 296,639,265,316/391,428
  6. Step 6: Final answer
    x = 757,838.65

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.