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Finding the Third Proportional to 302,416 and 660,172

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Solution

The third proportional to 302,416 and 660,172 is: 1,441,150.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,416 : 660,172 = 660,172 : x
  2. Step 2: Convert to fraction form
    302,416/660,172 = 660,172/x
  3. Step 3: Cross multiply
    302,416x = 660,172 × 660,172
  4. Step 4: Simplify right side
    302,416x = 435,827,069,584
  5. Step 5: Solve for x
    x = 435,827,069,584/302,416
  6. Step 6: Final answer
    x = 1,441,150.83

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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.