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Finding the Third Proportional to 83,075 and 130,565

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Solution

The third proportional to 83,075 and 130,565 is: 205,202.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,075 : 130,565 = 130,565 : x
  2. Step 2: Convert to fraction form
    83,075/130,565 = 130,565/x
  3. Step 3: Cross multiply
    83,075x = 130,565 × 130,565
  4. Step 4: Simplify right side
    83,075x = 17,047,219,225
  5. Step 5: Solve for x
    x = 17,047,219,225/83,075
  6. Step 6: Final answer
    x = 205,202.76

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.