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Finding the Third Proportional to 207,168 and 316,928

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Solution

The third proportional to 207,168 and 316,928 is: 484,840.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    207,168 : 316,928 = 316,928 : x
  2. Step 2: Convert to fraction form
    207,168/316,928 = 316,928/x
  3. Step 3: Cross multiply
    207,168x = 316,928 × 316,928
  4. Step 4: Simplify right side
    207,168x = 100,443,357,184
  5. Step 5: Solve for x
    x = 100,443,357,184/207,168
  6. Step 6: Final answer
    x = 484,840.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.