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Finding the Third Proportional to 146,496 and 316,320

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Solution

The third proportional to 146,496 and 316,320 is: 683,010.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    146,496 : 316,320 = 316,320 : x
  2. Step 2: Convert to fraction form
    146,496/316,320 = 316,320/x
  3. Step 3: Cross multiply
    146,496x = 316,320 × 316,320
  4. Step 4: Simplify right side
    146,496x = 100,058,342,400
  5. Step 5: Solve for x
    x = 100,058,342,400/146,496
  6. Step 6: Final answer
    x = 683,010.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.