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Finding the Third Proportional to 369,249 and 869,353

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Solution

The third proportional to 369,249 and 869,353 is: 2,046,788.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,249 : 869,353 = 869,353 : x
  2. Step 2: Convert to fraction form
    369,249/869,353 = 869,353/x
  3. Step 3: Cross multiply
    369,249x = 869,353 × 869,353
  4. Step 4: Simplify right side
    369,249x = 755,774,638,609
  5. Step 5: Solve for x
    x = 755,774,638,609/369,249
  6. Step 6: Final answer
    x = 2,046,788.59

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.