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Finding the Third Proportional to 228,478 and 355,716

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Solution

The third proportional to 228,478 and 355,716 is: 553,812.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,478 : 355,716 = 355,716 : x
  2. Step 2: Convert to fraction form
    228,478/355,716 = 355,716/x
  3. Step 3: Cross multiply
    228,478x = 355,716 × 355,716
  4. Step 4: Simplify right side
    228,478x = 126,533,872,656
  5. Step 5: Solve for x
    x = 126,533,872,656/228,478
  6. Step 6: Final answer
    x = 553,812.06

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.