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Finding the Third Proportional to 360,945 and 540,121.50

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Solution

The third proportional to 360,945 and 540,121.50 is: 808,242.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,945 : 540,121.50 = 540,121.50 : x
  2. Step 2: Convert to fraction form
    360,945/540,121.50 = 540,121.50/x
  3. Step 3: Cross multiply
    360,945x = 540,121.50 × 540,121.50
  4. Step 4: Simplify right side
    360,945x = 291,731,234,762.25
  5. Step 5: Solve for x
    x = 291,731,234,762.25/360,945
  6. Step 6: Final answer
    x = 808,242.90

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.