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Finding the Third Proportional to 70,265 and 152,287

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Solution

The third proportional to 70,265 and 152,287 is: 330,055.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,265 : 152,287 = 152,287 : x
  2. Step 2: Convert to fraction form
    70,265/152,287 = 152,287/x
  3. Step 3: Cross multiply
    70,265x = 152,287 × 152,287
  4. Step 4: Simplify right side
    70,265x = 23,191,330,369
  5. Step 5: Solve for x
    x = 23,191,330,369/70,265
  6. Step 6: Final answer
    x = 330,055.22

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.