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Finding the Third Proportional to 78,423 and 170,535

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Solution

The third proportional to 78,423 and 170,535 is: 370,837.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,423 : 170,535 = 170,535 : x
  2. Step 2: Convert to fraction form
    78,423/170,535 = 170,535/x
  3. Step 3: Cross multiply
    78,423x = 170,535 × 170,535
  4. Step 4: Simplify right side
    78,423x = 29,082,186,225
  5. Step 5: Solve for x
    x = 29,082,186,225/78,423
  6. Step 6: Final answer
    x = 370,837.46

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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.