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Finding the Third Proportional to 270,484 and 420,466

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Solution

The third proportional to 270,484 and 420,466 is: 653,612.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    270,484 : 420,466 = 420,466 : x
  2. Step 2: Convert to fraction form
    270,484/420,466 = 420,466/x
  3. Step 3: Cross multiply
    270,484x = 420,466 × 420,466
  4. Step 4: Simplify right side
    270,484x = 176,791,657,156
  5. Step 5: Solve for x
    x = 176,791,657,156/270,484
  6. Step 6: Final answer
    x = 653,612.25

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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.