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Finding the Third Proportional to 339,937 and 740,557

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Solution

The third proportional to 339,937 and 740,557 is: 1,613,312.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,937 : 740,557 = 740,557 : x
  2. Step 2: Convert to fraction form
    339,937/740,557 = 740,557/x
  3. Step 3: Cross multiply
    339,937x = 740,557 × 740,557
  4. Step 4: Simplify right side
    339,937x = 548,424,670,249
  5. Step 5: Solve for x
    x = 548,424,670,249/339,937
  6. Step 6: Final answer
    x = 1,613,312.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.