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Finding the Third Proportional to 302,499 and 663,135

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Solution

The third proportional to 302,499 and 663,135 is: 1,453,717.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,499 : 663,135 = 663,135 : x
  2. Step 2: Convert to fraction form
    302,499/663,135 = 663,135/x
  3. Step 3: Cross multiply
    302,499x = 663,135 × 663,135
  4. Step 4: Simplify right side
    302,499x = 439,748,028,225
  5. Step 5: Solve for x
    x = 439,748,028,225/302,499
  6. Step 6: Final answer
    x = 1,453,717.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.