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Finding the Third Proportional to 513,578 and 739,763

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Solution

The third proportional to 513,578 and 739,763 is: 1,065,562.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    513,578 : 739,763 = 739,763 : x
  2. Step 2: Convert to fraction form
    513,578/739,763 = 739,763/x
  3. Step 3: Cross multiply
    513,578x = 739,763 × 739,763
  4. Step 4: Simplify right side
    513,578x = 547,249,296,169
  5. Step 5: Solve for x
    x = 547,249,296,169/513,578
  6. Step 6: Final answer
    x = 1,065,562.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.