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Finding the Third Proportional to 380,886 and 559,539

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Solution

The third proportional to 380,886 and 559,539 is: 821,988.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    380,886 : 559,539 = 559,539 : x
  2. Step 2: Convert to fraction form
    380,886/559,539 = 559,539/x
  3. Step 3: Cross multiply
    380,886x = 559,539 × 559,539
  4. Step 4: Simplify right side
    380,886x = 313,083,892,521
  5. Step 5: Solve for x
    x = 313,083,892,521/380,886
  6. Step 6: Final answer
    x = 821,988.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.