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Finding the Third Proportional to 328,680 and 506,944

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Solution

The third proportional to 328,680 and 506,944 is: 781,891.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,680 : 506,944 = 506,944 : x
  2. Step 2: Convert to fraction form
    328,680/506,944 = 506,944/x
  3. Step 3: Cross multiply
    328,680x = 506,944 × 506,944
  4. Step 4: Simplify right side
    328,680x = 256,992,219,136
  5. Step 5: Solve for x
    x = 256,992,219,136/328,680
  6. Step 6: Final answer
    x = 781,891.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.