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Finding the Third Proportional to 115,290 and 147,312

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Solution

The third proportional to 115,290 and 147,312 is: 188,228.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    115,290 : 147,312 = 147,312 : x
  2. Step 2: Convert to fraction form
    115,290/147,312 = 147,312/x
  3. Step 3: Cross multiply
    115,290x = 147,312 × 147,312
  4. Step 4: Simplify right side
    115,290x = 21,700,825,344
  5. Step 5: Solve for x
    x = 21,700,825,344/115,290
  6. Step 6: Final answer
    x = 188,228.17

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.