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Finding the Third Proportional to 100,787 and 145,690

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Solution

The third proportional to 100,787 and 145,690 is: 210,598.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,787 : 145,690 = 145,690 : x
  2. Step 2: Convert to fraction form
    100,787/145,690 = 145,690/x
  3. Step 3: Cross multiply
    100,787x = 145,690 × 145,690
  4. Step 4: Simplify right side
    100,787x = 21,225,576,100
  5. Step 5: Solve for x
    x = 21,225,576,100/100,787
  6. Step 6: Final answer
    x = 210,598.35

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.