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Finding the Third Proportional to 69,419 and 148,681

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Solution

The third proportional to 69,419 and 148,681 is: 318,443.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,419 : 148,681 = 148,681 : x
  2. Step 2: Convert to fraction form
    69,419/148,681 = 148,681/x
  3. Step 3: Cross multiply
    69,419x = 148,681 × 148,681
  4. Step 4: Simplify right side
    69,419x = 22,106,039,761
  5. Step 5: Solve for x
    x = 22,106,039,761/69,419
  6. Step 6: Final answer
    x = 318,443.65

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.