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Finding the Third Proportional to 490,492.50 and 736,227.75

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Solution

The third proportional to 490,492.50 and 736,227.75 is: 1,105,075.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    490,492.50 : 736,227.75 = 736,227.75 : x
  2. Step 2: Convert to fraction form
    490,492.50/736,227.75 = 736,227.75/x
  3. Step 3: Cross multiply
    490,492.50x = 736,227.75 × 736,227.75
  4. Step 4: Simplify right side
    490,492.50x = 542,031,299,870.06
  5. Step 5: Solve for x
    x = 542,031,299,870.06/490,492.50
  6. Step 6: Final answer
    x = 1,105,075.61

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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.