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Finding the Third Proportional to 316,845 and 430,447.50

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Solution

The third proportional to 316,845 and 430,447.50 is: 584,781.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,845 : 430,447.50 = 430,447.50 : x
  2. Step 2: Convert to fraction form
    316,845/430,447.50 = 430,447.50/x
  3. Step 3: Cross multiply
    316,845x = 430,447.50 × 430,447.50
  4. Step 4: Simplify right side
    316,845x = 185,285,050,256.25
  5. Step 5: Solve for x
    x = 185,285,050,256.25/316,845
  6. Step 6: Final answer
    x = 584,781.36

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.