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Finding the Third Proportional to 102,280 and 219,248

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Solution

The third proportional to 102,280 and 219,248 is: 469,981.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,280 : 219,248 = 219,248 : x
  2. Step 2: Convert to fraction form
    102,280/219,248 = 219,248/x
  3. Step 3: Cross multiply
    102,280x = 219,248 × 219,248
  4. Step 4: Simplify right side
    102,280x = 48,069,685,504
  5. Step 5: Solve for x
    x = 48,069,685,504/102,280
  6. Step 6: Final answer
    x = 469,981.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.