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Finding the Third Proportional to 354,904 and 542,987

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Solution

The third proportional to 354,904 and 542,987 is: 830,745.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,904 : 542,987 = 542,987 : x
  2. Step 2: Convert to fraction form
    354,904/542,987 = 542,987/x
  3. Step 3: Cross multiply
    354,904x = 542,987 × 542,987
  4. Step 4: Simplify right side
    354,904x = 294,834,882,169
  5. Step 5: Solve for x
    x = 294,834,882,169/354,904
  6. Step 6: Final answer
    x = 830,745.45

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.