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Finding the Third Proportional to 70,887 and 153,411

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Solution

The third proportional to 70,887 and 153,411 is: 332,006.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,887 : 153,411 = 153,411 : x
  2. Step 2: Convert to fraction form
    70,887/153,411 = 153,411/x
  3. Step 3: Cross multiply
    70,887x = 153,411 × 153,411
  4. Step 4: Simplify right side
    70,887x = 23,534,934,921
  5. Step 5: Solve for x
    x = 23,534,934,921/70,887
  6. Step 6: Final answer
    x = 332,006.36

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.