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Finding the Third Proportional to 738,130 and 1,138,731

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Solution

The third proportional to 738,130 and 1,138,731 is: 1,756,747.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    738,130 : 1,138,731 = 1,138,731 : x
  2. Step 2: Convert to fraction form
    738,130/1,138,731 = 1,138,731/x
  3. Step 3: Cross multiply
    738,130x = 1,138,731 × 1,138,731
  4. Step 4: Simplify right side
    738,130x = 1,296,708,290,361
  5. Step 5: Solve for x
    x = 1,296,708,290,361/738,130
  6. Step 6: Final answer
    x = 1,756,747.85

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.