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Finding the Third Proportional to 70,486 and 153,608

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Solution

The third proportional to 70,486 and 153,608 is: 334,753.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,486 : 153,608 = 153,608 : x
  2. Step 2: Convert to fraction form
    70,486/153,608 = 153,608/x
  3. Step 3: Cross multiply
    70,486x = 153,608 × 153,608
  4. Step 4: Simplify right side
    70,486x = 23,595,417,664
  5. Step 5: Solve for x
    x = 23,595,417,664/70,486
  6. Step 6: Final answer
    x = 334,753.25

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.