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Finding the Third Proportional to 65,561.91 and 140,681.81

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Solution

The third proportional to 65,561.91 and 140,681.81 is: 301,873.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,561.91 : 140,681.81 = 140,681.81 : x
  2. Step 2: Convert to fraction form
    65,561.91/140,681.81 = 140,681.81/x
  3. Step 3: Cross multiply
    65,561.91x = 140,681.81 × 140,681.81
  4. Step 4: Simplify right side
    65,561.91x = 19,791,372,368.29
  5. Step 5: Solve for x
    x = 19,791,372,368.29/65,561.91
  6. Step 6: Final answer
    x = 301,873.05

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.