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Finding the Third Proportional to 133,082 and 288,547

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Solution

The third proportional to 133,082 and 288,547 is: 625,624.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,082 : 288,547 = 288,547 : x
  2. Step 2: Convert to fraction form
    133,082/288,547 = 288,547/x
  3. Step 3: Cross multiply
    133,082x = 288,547 × 288,547
  4. Step 4: Simplify right side
    133,082x = 83,259,371,209
  5. Step 5: Solve for x
    x = 83,259,371,209/133,082
  6. Step 6: Final answer
    x = 625,624.59

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.