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Finding the Third Proportional to 147,076 and 311,486

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Solution

The third proportional to 147,076 and 311,486 is: 659,682.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    147,076 : 311,486 = 311,486 : x
  2. Step 2: Convert to fraction form
    147,076/311,486 = 311,486/x
  3. Step 3: Cross multiply
    147,076x = 311,486 × 311,486
  4. Step 4: Simplify right side
    147,076x = 97,023,528,196
  5. Step 5: Solve for x
    x = 97,023,528,196/147,076
  6. Step 6: Final answer
    x = 659,682.94

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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.