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Finding the Third Proportional to 100,642.50 and 148,047.75

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Solution

The third proportional to 100,642.50 and 148,047.75 is: 217,782.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,642.50 : 148,047.75 = 148,047.75 : x
  2. Step 2: Convert to fraction form
    100,642.50/148,047.75 = 148,047.75/x
  3. Step 3: Cross multiply
    100,642.50x = 148,047.75 × 148,047.75
  4. Step 4: Simplify right side
    100,642.50x = 21,918,136,280.06
  5. Step 5: Solve for x
    x = 21,918,136,280.06/100,642.50
  6. Step 6: Final answer
    x = 217,782.11

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.