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Finding the Third Proportional to 321,854.45 and 486,924.54

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Solution

The third proportional to 321,854.45 and 486,924.54 is: 736,654.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    321,854.45 : 486,924.54 = 486,924.54 : x
  2. Step 2: Convert to fraction form
    321,854.45/486,924.54 = 486,924.54/x
  3. Step 3: Cross multiply
    321,854.45x = 486,924.54 × 486,924.54
  4. Step 4: Simplify right side
    321,854.45x = 237,095,506,741.23
  5. Step 5: Solve for x
    x = 237,095,506,741.23/321,854.45
  6. Step 6: Final answer
    x = 736,654.43

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.