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Finding the Third Proportional to 228,315.75 and 358,147.13

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Solution

The third proportional to 228,315.75 and 358,147.13 is: 561,806.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,315.75 : 358,147.13 = 358,147.13 : x
  2. Step 2: Convert to fraction form
    228,315.75/358,147.13 = 358,147.13/x
  3. Step 3: Cross multiply
    228,315.75x = 358,147.13 × 358,147.13
  4. Step 4: Simplify right side
    228,315.75x = 128,269,363,145.77
  5. Step 5: Solve for x
    x = 128,269,363,145.77/228,315.75
  6. Step 6: Final answer
    x = 561,806.90

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.