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Finding the Third Proportional to 219,312 and 478,287

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Solution

The third proportional to 219,312 and 478,287 is: 1,043,073.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    219,312 : 478,287 = 478,287 : x
  2. Step 2: Convert to fraction form
    219,312/478,287 = 478,287/x
  3. Step 3: Cross multiply
    219,312x = 478,287 × 478,287
  4. Step 4: Simplify right side
    219,312x = 228,758,454,369
  5. Step 5: Solve for x
    x = 228,758,454,369/219,312
  6. Step 6: Final answer
    x = 1,043,073.13

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.