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Finding the Third Proportional to 279,423 and 442,648.13

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Solution

The third proportional to 279,423 and 442,648.13 is: 701,221.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,423 : 442,648.13 = 442,648.13 : x
  2. Step 2: Convert to fraction form
    279,423/442,648.13 = 442,648.13/x
  3. Step 3: Cross multiply
    279,423x = 442,648.13 × 442,648.13
  4. Step 4: Simplify right side
    279,423x = 195,937,362,566.02
  5. Step 5: Solve for x
    x = 195,937,362,566.02/279,423
  6. Step 6: Final answer
    x = 701,221.31

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.