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Finding the Third Proportional to 279,951 and 425,110.50

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Solution

The third proportional to 279,951 and 425,110.50 is: 645,537.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,951 : 425,110.50 = 425,110.50 : x
  2. Step 2: Convert to fraction form
    279,951/425,110.50 = 425,110.50/x
  3. Step 3: Cross multiply
    279,951x = 425,110.50 × 425,110.50
  4. Step 4: Simplify right side
    279,951x = 180,718,937,210.25
  5. Step 5: Solve for x
    x = 180,718,937,210.25/279,951
  6. Step 6: Final answer
    x = 645,537.74

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.