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Finding the Third Proportional to 45,399 and 99,090

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Solution

The third proportional to 45,399 and 99,090 is: 216,278.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,399 : 99,090 = 99,090 : x
  2. Step 2: Convert to fraction form
    45,399/99,090 = 99,090/x
  3. Step 3: Cross multiply
    45,399x = 99,090 × 99,090
  4. Step 4: Simplify right side
    45,399x = 9,818,828,100
  5. Step 5: Solve for x
    x = 9,818,828,100/45,399
  6. Step 6: Final answer
    x = 216,278.51

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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.