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Finding the Third Proportional to 395,445.38 and 612,830.81

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Solution

The third proportional to 395,445.38 and 612,830.81 is: 949,718.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    395,445.38 : 612,830.81 = 612,830.81 : x
  2. Step 2: Convert to fraction form
    395,445.38/612,830.81 = 612,830.81/x
  3. Step 3: Cross multiply
    395,445.38x = 612,830.81 × 612,830.81
  4. Step 4: Simplify right side
    395,445.38x = 375,561,604,749.41
  5. Step 5: Solve for x
    x = 375,561,604,749.41/395,445.38
  6. Step 6: Final answer
    x = 949,718.04

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.