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Finding the Third Proportional to 149,360 and 316,206

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Solution

The third proportional to 149,360 and 316,206 is: 669,431.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    149,360 : 316,206 = 316,206 : x
  2. Step 2: Convert to fraction form
    149,360/316,206 = 316,206/x
  3. Step 3: Cross multiply
    149,360x = 316,206 × 316,206
  4. Step 4: Simplify right side
    149,360x = 99,986,234,436
  5. Step 5: Solve for x
    x = 99,986,234,436/149,360
  6. Step 6: Final answer
    x = 669,431.14

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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.