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Finding the Third Proportional to 328,106 and 514,029

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Solution

The third proportional to 328,106 and 514,029 is: 805,306.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,106 : 514,029 = 514,029 : x
  2. Step 2: Convert to fraction form
    328,106/514,029 = 514,029/x
  3. Step 3: Cross multiply
    328,106x = 514,029 × 514,029
  4. Step 4: Simplify right side
    328,106x = 264,225,812,841
  5. Step 5: Solve for x
    x = 264,225,812,841/328,106
  6. Step 6: Final answer
    x = 805,306.25

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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.