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Finding the Third Proportional to 328,130 and 514,068

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Solution

The third proportional to 328,130 and 514,068 is: 805,369.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,130 : 514,068 = 514,068 : x
  2. Step 2: Convert to fraction form
    328,130/514,068 = 514,068/x
  3. Step 3: Cross multiply
    328,130x = 514,068 × 514,068
  4. Step 4: Simplify right side
    328,130x = 264,265,908,624
  5. Step 5: Solve for x
    x = 264,265,908,624/328,130
  6. Step 6: Final answer
    x = 805,369.54

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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.