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Finding the Third Proportional to 308,430.75 and 460,079

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Solution

The third proportional to 308,430.75 and 460,079 is: 686,289.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,430.75 : 460,079 = 460,079 : x
  2. Step 2: Convert to fraction form
    308,430.75/460,079 = 460,079/x
  3. Step 3: Cross multiply
    308,430.75x = 460,079 × 460,079
  4. Step 4: Simplify right side
    308,430.75x = 211,672,686,241
  5. Step 5: Solve for x
    x = 211,672,686,241/308,430.75
  6. Step 6: Final answer
    x = 686,289.18

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.