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Finding the Third Proportional to 94,554 and 201,742.50

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Solution

The third proportional to 94,554 and 201,742.50 is: 430,442.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,554 : 201,742.50 = 201,742.50 : x
  2. Step 2: Convert to fraction form
    94,554/201,742.50 = 201,742.50/x
  3. Step 3: Cross multiply
    94,554x = 201,742.50 × 201,742.50
  4. Step 4: Simplify right side
    94,554x = 40,700,036,306.25
  5. Step 5: Solve for x
    x = 40,700,036,306.25/94,554
  6. Step 6: Final answer
    x = 430,442.25

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.