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Finding the Third Proportional to 55,515.38 and 120,386.25

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Solution

The third proportional to 55,515.38 and 120,386.25 is: 261,060.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,515.38 : 120,386.25 = 120,386.25 : x
  2. Step 2: Convert to fraction form
    55,515.38/120,386.25 = 120,386.25/x
  3. Step 3: Cross multiply
    55,515.38x = 120,386.25 × 120,386.25
  4. Step 4: Simplify right side
    55,515.38x = 14,492,849,189.06
  5. Step 5: Solve for x
    x = 14,492,849,189.06/55,515.38
  6. Step 6: Final answer
    x = 261,060.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.