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Finding the Third Proportional to 542,742.50 and 810,013

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Solution

The third proportional to 542,742.50 and 810,013 is: 1,208,899.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    542,742.50 : 810,013 = 810,013 : x
  2. Step 2: Convert to fraction form
    542,742.50/810,013 = 810,013/x
  3. Step 3: Cross multiply
    542,742.50x = 810,013 × 810,013
  4. Step 4: Simplify right side
    542,742.50x = 656,121,060,169
  5. Step 5: Solve for x
    x = 656,121,060,169/542,742.50
  6. Step 6: Final answer
    x = 1,208,899.36

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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.