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Finding the Third Proportional to 153,011.25 and 328,135.50

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Solution

The third proportional to 153,011.25 and 328,135.50 is: 703,692.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,011.25 : 328,135.50 = 328,135.50 : x
  2. Step 2: Convert to fraction form
    153,011.25/328,135.50 = 328,135.50/x
  3. Step 3: Cross multiply
    153,011.25x = 328,135.50 × 328,135.50
  4. Step 4: Simplify right side
    153,011.25x = 107,672,906,360.25
  5. Step 5: Solve for x
    x = 107,672,906,360.25/153,011.25
  6. Step 6: Final answer
    x = 703,692.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.