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Finding the Third Proportional to 542,970.50 and 811,585.25

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Solution

The third proportional to 542,970.50 and 811,585.25 is: 1,213,087.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,970.50 : 811,585.25 = 811,585.25 : x
  2. Step 2: Convert to fraction form
    542,970.50/811,585.25 = 811,585.25/x
  3. Step 3: Cross multiply
    542,970.50x = 811,585.25 × 811,585.25
  4. Step 4: Simplify right side
    542,970.50x = 658,670,618,017.56
  5. Step 5: Solve for x
    x = 658,670,618,017.56/542,970.50
  6. Step 6: Final answer
    x = 1,213,087.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.