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Finding the Third Proportional to 46,320.50 and 101,115.50

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Solution

The third proportional to 46,320.50 and 101,115.50 is: 220,730.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,320.50 : 101,115.50 = 101,115.50 : x
  2. Step 2: Convert to fraction form
    46,320.50/101,115.50 = 101,115.50/x
  3. Step 3: Cross multiply
    46,320.50x = 101,115.50 × 101,115.50
  4. Step 4: Simplify right side
    46,320.50x = 10,224,344,340.25
  5. Step 5: Solve for x
    x = 10,224,344,340.25/46,320.50
  6. Step 6: Final answer
    x = 220,730.44

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.