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Finding the Third Proportional to 315,648 and 671,472

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Solution

The third proportional to 315,648 and 671,472 is: 1,428,409.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,648 : 671,472 = 671,472 : x
  2. Step 2: Convert to fraction form
    315,648/671,472 = 671,472/x
  3. Step 3: Cross multiply
    315,648x = 671,472 × 671,472
  4. Step 4: Simplify right side
    315,648x = 450,874,646,784
  5. Step 5: Solve for x
    x = 450,874,646,784/315,648
  6. Step 6: Final answer
    x = 1,428,409.64

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.