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Finding the Third Proportional to 144,202 and 310,591

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Solution

The third proportional to 144,202 and 310,591 is: 668,969.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,202 : 310,591 = 310,591 : x
  2. Step 2: Convert to fraction form
    144,202/310,591 = 310,591/x
  3. Step 3: Cross multiply
    144,202x = 310,591 × 310,591
  4. Step 4: Simplify right side
    144,202x = 96,466,769,281
  5. Step 5: Solve for x
    x = 96,466,769,281/144,202
  6. Step 6: Final answer
    x = 668,969.70

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.