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Finding the Third Proportional to 251,920.13 and 390,050.44

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Solution

The third proportional to 251,920.13 and 390,050.44 is: 603,918.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    251,920.13 : 390,050.44 = 390,050.44 : x
  2. Step 2: Convert to fraction form
    251,920.13/390,050.44 = 390,050.44/x
  3. Step 3: Cross multiply
    251,920.13x = 390,050.44 × 390,050.44
  4. Step 4: Simplify right side
    251,920.13x = 152,139,343,793.94
  5. Step 5: Solve for x
    x = 152,139,343,793.94/251,920.13
  6. Step 6: Final answer
    x = 603,918.98

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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.