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Finding the Third Proportional to 350,015 and 542,987

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Solution

The third proportional to 350,015 and 542,987 is: 842,349.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    350,015 : 542,987 = 542,987 : x
  2. Step 2: Convert to fraction form
    350,015/542,987 = 542,987/x
  3. Step 3: Cross multiply
    350,015x = 542,987 × 542,987
  4. Step 4: Simplify right side
    350,015x = 294,834,882,169
  5. Step 5: Solve for x
    x = 294,834,882,169/350,015
  6. Step 6: Final answer
    x = 842,349.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.