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Finding the Third Proportional to 69,574 and 148,987

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Solution

The third proportional to 69,574 and 148,987 is: 319,043.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,574 : 148,987 = 148,987 : x
  2. Step 2: Convert to fraction form
    69,574/148,987 = 148,987/x
  3. Step 3: Cross multiply
    69,574x = 148,987 × 148,987
  4. Step 4: Simplify right side
    69,574x = 22,197,126,169
  5. Step 5: Solve for x
    x = 22,197,126,169/69,574
  6. Step 6: Final answer
    x = 319,043.41

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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.