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Finding the Third Proportional to 472,492 and 729,630

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Solution

The third proportional to 472,492 and 729,630 is: 1,126,706.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    472,492 : 729,630 = 729,630 : x
  2. Step 2: Convert to fraction form
    472,492/729,630 = 729,630/x
  3. Step 3: Cross multiply
    472,492x = 729,630 × 729,630
  4. Step 4: Simplify right side
    472,492x = 532,359,936,900
  5. Step 5: Solve for x
    x = 532,359,936,900/472,492
  6. Step 6: Final answer
    x = 1,126,706.77

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.