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Finding the Third Proportional to 289,871 and 400,539

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Solution

The third proportional to 289,871 and 400,539 is: 553,458.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,871 : 400,539 = 400,539 : x
  2. Step 2: Convert to fraction form
    289,871/400,539 = 400,539/x
  3. Step 3: Cross multiply
    289,871x = 400,539 × 400,539
  4. Step 4: Simplify right side
    289,871x = 160,431,490,521
  5. Step 5: Solve for x
    x = 160,431,490,521/289,871
  6. Step 6: Final answer
    x = 553,458.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.