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Finding the Third Proportional to 317,398.50 and 430,580.81

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Solution

The third proportional to 317,398.50 and 430,580.81 is: 584,123.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,398.50 : 430,580.81 = 430,580.81 : x
  2. Step 2: Convert to fraction form
    317,398.50/430,580.81 = 430,580.81/x
  3. Step 3: Cross multiply
    317,398.50x = 430,580.81 × 430,580.81
  4. Step 4: Simplify right side
    317,398.50x = 185,399,836,093.16
  5. Step 5: Solve for x
    x = 185,399,836,093.16/317,398.50
  6. Step 6: Final answer
    x = 584,123.23

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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.