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Finding the Third Proportional to 261,826 and 403,031

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Solution

The third proportional to 261,826 and 403,031 is: 620,389.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,826 : 403,031 = 403,031 : x
  2. Step 2: Convert to fraction form
    261,826/403,031 = 403,031/x
  3. Step 3: Cross multiply
    261,826x = 403,031 × 403,031
  4. Step 4: Simplify right side
    261,826x = 162,433,986,961
  5. Step 5: Solve for x
    x = 162,433,986,961/261,826
  6. Step 6: Final answer
    x = 620,389.06

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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.