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Finding the Third Proportional to 133,730 and 288,526

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Solution

The third proportional to 133,730 and 288,526 is: 622,502.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,730 : 288,526 = 288,526 : x
  2. Step 2: Convert to fraction form
    133,730/288,526 = 288,526/x
  3. Step 3: Cross multiply
    133,730x = 288,526 × 288,526
  4. Step 4: Simplify right side
    133,730x = 83,247,252,676
  5. Step 5: Solve for x
    x = 83,247,252,676/133,730
  6. Step 6: Final answer
    x = 622,502.45

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.