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Finding the Third Proportional to 401,348 and 869,948

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Solution

The third proportional to 401,348 and 869,948 is: 1,885,669.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    401,348 : 869,948 = 869,948 : x
  2. Step 2: Convert to fraction form
    401,348/869,948 = 869,948/x
  3. Step 3: Cross multiply
    401,348x = 869,948 × 869,948
  4. Step 4: Simplify right side
    401,348x = 756,809,522,704
  5. Step 5: Solve for x
    x = 756,809,522,704/401,348
  6. Step 6: Final answer
    x = 1,885,669.10

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.