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Finding the Third Proportional to 210,000 and 316,080

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Solution

The third proportional to 210,000 and 316,080 is: 475,745.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    210,000 : 316,080 = 316,080 : x
  2. Step 2: Convert to fraction form
    210,000/316,080 = 316,080/x
  3. Step 3: Cross multiply
    210,000x = 316,080 × 316,080
  4. Step 4: Simplify right side
    210,000x = 99,906,566,400
  5. Step 5: Solve for x
    x = 99,906,566,400/210,000
  6. Step 6: Final answer
    x = 475,745.55

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.