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Finding the Third Proportional to 90,276.75 and 139,713.75

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Solution

The third proportional to 90,276.75 and 139,713.75 is: 216,223.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,276.75 : 139,713.75 = 139,713.75 : x
  2. Step 2: Convert to fraction form
    90,276.75/139,713.75 = 139,713.75/x
  3. Step 3: Cross multiply
    90,276.75x = 139,713.75 × 139,713.75
  4. Step 4: Simplify right side
    90,276.75x = 19,519,931,939.06
  5. Step 5: Solve for x
    x = 19,519,931,939.06/90,276.75
  6. Step 6: Final answer
    x = 216,223.25

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.