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Finding the Third Proportional to 328,018 and 506,043

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Solution

The third proportional to 328,018 and 506,043 is: 780,687.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,018 : 506,043 = 506,043 : x
  2. Step 2: Convert to fraction form
    328,018/506,043 = 506,043/x
  3. Step 3: Cross multiply
    328,018x = 506,043 × 506,043
  4. Step 4: Simplify right side
    328,018x = 256,079,517,849
  5. Step 5: Solve for x
    x = 256,079,517,849/328,018
  6. Step 6: Final answer
    x = 780,687.39

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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.