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Finding the Third Proportional to 70,068.75 and 153,291

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Solution

The third proportional to 70,068.75 and 153,291 is: 335,358.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,068.75 : 153,291 = 153,291 : x
  2. Step 2: Convert to fraction form
    70,068.75/153,291 = 153,291/x
  3. Step 3: Cross multiply
    70,068.75x = 153,291 × 153,291
  4. Step 4: Simplify right side
    70,068.75x = 23,498,130,681
  5. Step 5: Solve for x
    x = 23,498,130,681/70,068.75
  6. Step 6: Final answer
    x = 335,358.21

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.