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Finding the Third Proportional to 302,550 and 660,498

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Solution

The third proportional to 302,550 and 660,498 is: 1,441,935.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,550 : 660,498 = 660,498 : x
  2. Step 2: Convert to fraction form
    302,550/660,498 = 660,498/x
  3. Step 3: Cross multiply
    302,550x = 660,498 × 660,498
  4. Step 4: Simplify right side
    302,550x = 436,257,608,004
  5. Step 5: Solve for x
    x = 436,257,608,004/302,550
  6. Step 6: Final answer
    x = 1,441,935.57

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.