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Finding the Third Proportional to 30,810.38 and 66,531.38

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Solution

The third proportional to 30,810.38 and 66,531.38 is: 143,666.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,810.38 : 66,531.38 = 66,531.38 : x
  2. Step 2: Convert to fraction form
    30,810.38/66,531.38 = 66,531.38/x
  3. Step 3: Cross multiply
    30,810.38x = 66,531.38 × 66,531.38
  4. Step 4: Simplify right side
    30,810.38x = 4,426,423,859.39
  5. Step 5: Solve for x
    x = 4,426,423,859.39/30,810.38
  6. Step 6: Final answer
    x = 143,666.67

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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.