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Finding the Third Proportional to 313,730 and 473,520

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Solution

The third proportional to 313,730 and 473,520 is: 714,694.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    313,730 : 473,520 = 473,520 : x
  2. Step 2: Convert to fraction form
    313,730/473,520 = 473,520/x
  3. Step 3: Cross multiply
    313,730x = 473,520 × 473,520
  4. Step 4: Simplify right side
    313,730x = 224,221,190,400
  5. Step 5: Solve for x
    x = 224,221,190,400/313,730
  6. Step 6: Final answer
    x = 714,694.77

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.