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Finding the Third Proportional to 311,427 and 487,897.13

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Solution

The third proportional to 311,427 and 487,897.13 is: 764,364.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,427 : 487,897.13 = 487,897.13 : x
  2. Step 2: Convert to fraction form
    311,427/487,897.13 = 487,897.13/x
  3. Step 3: Cross multiply
    311,427x = 487,897.13 × 487,897.13
  4. Step 4: Simplify right side
    311,427x = 238,043,604,583.27
  5. Step 5: Solve for x
    x = 238,043,604,583.27/311,427
  6. Step 6: Final answer
    x = 764,364.06

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.