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Finding the Third Proportional to 207,070 and 310,285

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Solution

The third proportional to 207,070 and 310,285 is: 464,947.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,070 : 310,285 = 310,285 : x
  2. Step 2: Convert to fraction form
    207,070/310,285 = 310,285/x
  3. Step 3: Cross multiply
    207,070x = 310,285 × 310,285
  4. Step 4: Simplify right side
    207,070x = 96,276,781,225
  5. Step 5: Solve for x
    x = 96,276,781,225/207,070
  6. Step 6: Final answer
    x = 464,947.99

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.