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Finding the Third Proportional to 308,480 and 460,174

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Solution

The third proportional to 308,480 and 460,174 is: 686,463.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,480 : 460,174 = 460,174 : x
  2. Step 2: Convert to fraction form
    308,480/460,174 = 460,174/x
  3. Step 3: Cross multiply
    308,480x = 460,174 × 460,174
  4. Step 4: Simplify right side
    308,480x = 211,760,110,276
  5. Step 5: Solve for x
    x = 211,760,110,276/308,480
  6. Step 6: Final answer
    x = 686,463.01

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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.