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Finding the Third Proportional to 147,330 and 316,164

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Solution

The third proportional to 147,330 and 316,164 is: 678,474.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,330 : 316,164 = 316,164 : x
  2. Step 2: Convert to fraction form
    147,330/316,164 = 316,164/x
  3. Step 3: Cross multiply
    147,330x = 316,164 × 316,164
  4. Step 4: Simplify right side
    147,330x = 99,959,674,896
  5. Step 5: Solve for x
    x = 99,959,674,896/147,330
  6. Step 6: Final answer
    x = 678,474.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.