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Finding the Third Proportional to 261,820 and 403,022

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Solution

The third proportional to 261,820 and 403,022 is: 620,375.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    261,820 : 403,022 = 403,022 : x
  2. Step 2: Convert to fraction form
    261,820/403,022 = 403,022/x
  3. Step 3: Cross multiply
    261,820x = 403,022 × 403,022
  4. Step 4: Simplify right side
    261,820x = 162,426,732,484
  5. Step 5: Solve for x
    x = 162,426,732,484/261,820
  6. Step 6: Final answer
    x = 620,375.57

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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.