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Finding the Third Proportional to 316,032 and 669,240

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Solution

The third proportional to 316,032 and 669,240 is: 1,417,205.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,032 : 669,240 = 669,240 : x
  2. Step 2: Convert to fraction form
    316,032/669,240 = 669,240/x
  3. Step 3: Cross multiply
    316,032x = 669,240 × 669,240
  4. Step 4: Simplify right side
    316,032x = 447,882,177,600
  5. Step 5: Solve for x
    x = 447,882,177,600/316,032
  6. Step 6: Final answer
    x = 1,417,205.15

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.