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Finding the Third Proportional to 302,428 and 659,288

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Solution

The third proportional to 302,428 and 659,288 is: 1,437,236.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,428 : 659,288 = 659,288 : x
  2. Step 2: Convert to fraction form
    302,428/659,288 = 659,288/x
  3. Step 3: Cross multiply
    302,428x = 659,288 × 659,288
  4. Step 4: Simplify right side
    302,428x = 434,660,666,944
  5. Step 5: Solve for x
    x = 434,660,666,944/302,428
  6. Step 6: Final answer
    x = 1,437,236.85

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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.