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Finding the Third Proportional to 320,886.72 and 480,330.55

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Solution

The third proportional to 320,886.72 and 480,330.55 is: 718,999.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    320,886.72 : 480,330.55 = 480,330.55 : x
  2. Step 2: Convert to fraction form
    320,886.72/480,330.55 = 480,330.55/x
  3. Step 3: Cross multiply
    320,886.72x = 480,330.55 × 480,330.55
  4. Step 4: Simplify right side
    320,886.72x = 230,717,440,828.25
  5. Step 5: Solve for x
    x = 230,717,440,828.25/320,886.72
  6. Step 6: Final answer
    x = 718,999.65

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.