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Finding the Third Proportional to 155,511 and 228,295.50

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Solution

The third proportional to 155,511 and 228,295.50 is: 335,145.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,511 : 228,295.50 = 228,295.50 : x
  2. Step 2: Convert to fraction form
    155,511/228,295.50 = 228,295.50/x
  3. Step 3: Cross multiply
    155,511x = 228,295.50 × 228,295.50
  4. Step 4: Simplify right side
    155,511x = 52,118,835,320.25
  5. Step 5: Solve for x
    x = 52,118,835,320.25/155,511
  6. Step 6: Final answer
    x = 335,145.65

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.