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Finding the Third Proportional to 120,919 and 262,547

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Solution

The third proportional to 120,919 and 262,547 is: 570,058.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,919 : 262,547 = 262,547 : x
  2. Step 2: Convert to fraction form
    120,919/262,547 = 262,547/x
  3. Step 3: Cross multiply
    120,919x = 262,547 × 262,547
  4. Step 4: Simplify right side
    120,919x = 68,930,927,209
  5. Step 5: Solve for x
    x = 68,930,927,209/120,919
  6. Step 6: Final answer
    x = 570,058.69

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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.