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Finding the Third Proportional to 638,842 and 1,407,309

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Solution

The third proportional to 638,842 and 1,407,309 is: 3,100,169.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    638,842 : 1,407,309 = 1,407,309 : x
  2. Step 2: Convert to fraction form
    638,842/1,407,309 = 1,407,309/x
  3. Step 3: Cross multiply
    638,842x = 1,407,309 × 1,407,309
  4. Step 4: Simplify right side
    638,842x = 1,980,518,621,481
  5. Step 5: Solve for x
    x = 1,980,518,621,481/638,842
  6. Step 6: Final answer
    x = 3,100,169.72

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.