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Finding the Third Proportional to 308,430.28 and 460,078.31

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Solution

The third proportional to 308,430.28 and 460,078.31 is: 686,288.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,430.28 : 460,078.31 = 460,078.31 : x
  2. Step 2: Convert to fraction form
    308,430.28/460,078.31 = 460,078.31/x
  3. Step 3: Cross multiply
    308,430.28x = 460,078.31 × 460,078.31
  4. Step 4: Simplify right side
    308,430.28x = 211,672,053,632.85
  5. Step 5: Solve for x
    x = 211,672,053,632.85/308,430.28
  6. Step 6: Final answer
    x = 686,288.17

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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.