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Finding the Third Proportional to 302,502 and 663,141

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Solution

The third proportional to 302,502 and 663,141 is: 1,453,729.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,502 : 663,141 = 663,141 : x
  2. Step 2: Convert to fraction form
    302,502/663,141 = 663,141/x
  3. Step 3: Cross multiply
    302,502x = 663,141 × 663,141
  4. Step 4: Simplify right side
    302,502x = 439,755,985,881
  5. Step 5: Solve for x
    x = 439,755,985,881/302,502
  6. Step 6: Final answer
    x = 1,453,729.18

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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.