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Finding the Third Proportional to 43,428 and 90,312

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Solution

The third proportional to 43,428 and 90,312 is: 187,811.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,428 : 90,312 = 90,312 : x
  2. Step 2: Convert to fraction form
    43,428/90,312 = 90,312/x
  3. Step 3: Cross multiply
    43,428x = 90,312 × 90,312
  4. Step 4: Simplify right side
    43,428x = 8,156,257,344
  5. Step 5: Solve for x
    x = 8,156,257,344/43,428
  6. Step 6: Final answer
    x = 187,811.03

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.