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Finding the Third Proportional to 385,393.50 and 812,335.50

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Solution

The third proportional to 385,393.50 and 812,335.50 is: 1,712,247.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,393.50 : 812,335.50 = 812,335.50 : x
  2. Step 2: Convert to fraction form
    385,393.50/812,335.50 = 812,335.50/x
  3. Step 3: Cross multiply
    385,393.50x = 812,335.50 × 812,335.50
  4. Step 4: Simplify right side
    385,393.50x = 659,888,964,560.25
  5. Step 5: Solve for x
    x = 659,888,964,560.25/385,393.50
  6. Step 6: Final answer
    x = 1,712,247.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.