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Finding the Third Proportional to 419,341.50 and 905,077.13

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Solution

The third proportional to 419,341.50 and 905,077.13 is: 1,953,454.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,341.50 : 905,077.13 = 905,077.13 : x
  2. Step 2: Convert to fraction form
    419,341.50/905,077.13 = 905,077.13/x
  3. Step 3: Cross multiply
    419,341.50x = 905,077.13 × 905,077.13
  4. Step 4: Simplify right side
    419,341.50x = 819,164,602,198.27
  5. Step 5: Solve for x
    x = 819,164,602,198.27/419,341.50
  6. Step 6: Final answer
    x = 1,953,454.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.