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Finding the Third Proportional to 319,641.75 and 485,294.63

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Solution

The third proportional to 319,641.75 and 485,294.63 is: 736,796.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,641.75 : 485,294.63 = 485,294.63 : x
  2. Step 2: Convert to fraction form
    319,641.75/485,294.63 = 485,294.63/x
  3. Step 3: Cross multiply
    319,641.75x = 485,294.63 × 485,294.63
  4. Step 4: Simplify right side
    319,641.75x = 235,510,873,053.89
  5. Step 5: Solve for x
    x = 235,510,873,053.89/319,641.75
  6. Step 6: Final answer
    x = 736,796.34

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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.