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Finding the Third Proportional to 64,262 and 98,841

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Solution

The third proportional to 64,262 and 98,841 is: 152,026.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,262 : 98,841 = 98,841 : x
  2. Step 2: Convert to fraction form
    64,262/98,841 = 98,841/x
  3. Step 3: Cross multiply
    64,262x = 98,841 × 98,841
  4. Step 4: Simplify right side
    64,262x = 9,769,543,281
  5. Step 5: Solve for x
    x = 9,769,543,281/64,262
  6. Step 6: Final answer
    x = 152,026.75

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.