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Finding the Third Proportional to 29,821.50 and 64,971

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Solution

The third proportional to 29,821.50 and 64,971 is: 141,549.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,821.50 : 64,971 = 64,971 : x
  2. Step 2: Convert to fraction form
    29,821.50/64,971 = 64,971/x
  3. Step 3: Cross multiply
    29,821.50x = 64,971 × 64,971
  4. Step 4: Simplify right side
    29,821.50x = 4,221,230,841
  5. Step 5: Solve for x
    x = 4,221,230,841/29,821.50
  6. Step 6: Final answer
    x = 141,549.92

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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.