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Finding the Third Proportional to 30,889.13 and 66,587.63

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Solution

The third proportional to 30,889.13 and 66,587.63 is: 143,542.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,889.13 : 66,587.63 = 66,587.63 : x
  2. Step 2: Convert to fraction form
    30,889.13/66,587.63 = 66,587.63/x
  3. Step 3: Cross multiply
    30,889.13x = 66,587.63 × 66,587.63
  4. Step 4: Simplify right side
    30,889.13x = 4,433,911,803.14
  5. Step 5: Solve for x
    x = 4,433,911,803.14/30,889.13
  6. Step 6: Final answer
    x = 143,542.81

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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.