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Finding the Third Proportional to 328,120 and 506,028

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Solution

The third proportional to 328,120 and 506,028 is: 780,398.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,120 : 506,028 = 506,028 : x
  2. Step 2: Convert to fraction form
    328,120/506,028 = 506,028/x
  3. Step 3: Cross multiply
    328,120x = 506,028 × 506,028
  4. Step 4: Simplify right side
    328,120x = 256,064,336,784
  5. Step 5: Solve for x
    x = 256,064,336,784/328,120
  6. Step 6: Final answer
    x = 780,398.44

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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.