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Finding the Third Proportional to 288,987.75 and 383,545.13

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Solution

The third proportional to 288,987.75 and 383,545.13 is: 509,041.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,987.75 : 383,545.13 = 383,545.13 : x
  2. Step 2: Convert to fraction form
    288,987.75/383,545.13 = 383,545.13/x
  3. Step 3: Cross multiply
    288,987.75x = 383,545.13 × 383,545.13
  4. Step 4: Simplify right side
    288,987.75x = 147,106,862,911.27
  5. Step 5: Solve for x
    x = 147,106,862,911.27/288,987.75
  6. Step 6: Final answer
    x = 509,041.86

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.