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Finding the Third Proportional to 328,129 and 514,062

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Solution

The third proportional to 328,129 and 514,062 is: 805,353.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,129 : 514,062 = 514,062 : x
  2. Step 2: Convert to fraction form
    328,129/514,062 = 514,062/x
  3. Step 3: Cross multiply
    328,129x = 514,062 × 514,062
  4. Step 4: Simplify right side
    328,129x = 264,259,739,844
  5. Step 5: Solve for x
    x = 264,259,739,844/328,129
  6. Step 6: Final answer
    x = 805,353.20

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.