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Finding the Third Proportional to 65,408 and 153,630

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Solution

The third proportional to 65,408 and 153,630 is: 360,845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,408 : 153,630 = 153,630 : x
  2. Step 2: Convert to fraction form
    65,408/153,630 = 153,630/x
  3. Step 3: Cross multiply
    65,408x = 153,630 × 153,630
  4. Step 4: Simplify right side
    65,408x = 23,602,176,900
  5. Step 5: Solve for x
    x = 23,602,176,900/65,408
  6. Step 6: Final answer
    x = 360,845.41

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.