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Finding the Third Proportional to 438,315.75 and 700,204.50

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Solution

The third proportional to 438,315.75 and 700,204.50 is: 1,118,568.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,315.75 : 700,204.50 = 700,204.50 : x
  2. Step 2: Convert to fraction form
    438,315.75/700,204.50 = 700,204.50/x
  3. Step 3: Cross multiply
    438,315.75x = 700,204.50 × 700,204.50
  4. Step 4: Simplify right side
    438,315.75x = 490,286,341,820.25
  5. Step 5: Solve for x
    x = 490,286,341,820.25/438,315.75
  6. Step 6: Final answer
    x = 1,118,568.84

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.