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Finding the Third Proportional to 334,228 and 517,780

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Solution

The third proportional to 334,228 and 517,780 is: 802,135.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    334,228 : 517,780 = 517,780 : x
  2. Step 2: Convert to fraction form
    334,228/517,780 = 517,780/x
  3. Step 3: Cross multiply
    334,228x = 517,780 × 517,780
  4. Step 4: Simplify right side
    334,228x = 268,096,128,400
  5. Step 5: Solve for x
    x = 268,096,128,400/334,228
  6. Step 6: Final answer
    x = 802,135.45

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.