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Finding the Third Proportional to 415,165.50 and 621,928.13

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Solution

The third proportional to 415,165.50 and 621,928.13 is: 931,663.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    415,165.50 : 621,928.13 = 621,928.13 : x
  2. Step 2: Convert to fraction form
    415,165.50/621,928.13 = 621,928.13/x
  3. Step 3: Cross multiply
    415,165.50x = 621,928.13 × 621,928.13
  4. Step 4: Simplify right side
    415,165.50x = 386,794,592,666.02
  5. Step 5: Solve for x
    x = 386,794,592,666.02/415,165.50
  6. Step 6: Final answer
    x = 931,663.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.