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Finding the Third Proportional to 147,119.84 and 311,897.04

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Solution

The third proportional to 147,119.84 and 311,897.04 is: 661,228.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,119.84 : 311,897.04 = 311,897.04 : x
  2. Step 2: Convert to fraction form
    147,119.84/311,897.04 = 311,897.04/x
  3. Step 3: Cross multiply
    147,119.84x = 311,897.04 × 311,897.04
  4. Step 4: Simplify right side
    147,119.84x = 97,279,762,975.95
  5. Step 5: Solve for x
    x = 97,279,762,975.95/147,119.84
  6. Step 6: Final answer
    x = 661,228.06

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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.