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Finding the Third Proportional to 228,499 and 355,763

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Solution

The third proportional to 228,499 and 355,763 is: 553,907.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    228,499 : 355,763 = 355,763 : x
  2. Step 2: Convert to fraction form
    228,499/355,763 = 355,763/x
  3. Step 3: Cross multiply
    228,499x = 355,763 × 355,763
  4. Step 4: Simplify right side
    228,499x = 126,567,312,169
  5. Step 5: Solve for x
    x = 126,567,312,169/228,499
  6. Step 6: Final answer
    x = 553,907.51

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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.