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Finding the Third Proportional to 102,294 and 221,220

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Solution

The third proportional to 102,294 and 221,220 is: 478,408.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,294 : 221,220 = 221,220 : x
  2. Step 2: Convert to fraction form
    102,294/221,220 = 221,220/x
  3. Step 3: Cross multiply
    102,294x = 221,220 × 221,220
  4. Step 4: Simplify right side
    102,294x = 48,938,288,400
  5. Step 5: Solve for x
    x = 48,938,288,400/102,294
  6. Step 6: Final answer
    x = 478,408.20

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.