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Finding the Third Proportional to 210,060 and 313,711

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Solution

The third proportional to 210,060 and 313,711 is: 468,507.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,060 : 313,711 = 313,711 : x
  2. Step 2: Convert to fraction form
    210,060/313,711 = 313,711/x
  3. Step 3: Cross multiply
    210,060x = 313,711 × 313,711
  4. Step 4: Simplify right side
    210,060x = 98,414,591,521
  5. Step 5: Solve for x
    x = 98,414,591,521/210,060
  6. Step 6: Final answer
    x = 468,507.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.