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Finding the Third Proportional to 223,248 and 312,273

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Solution

The third proportional to 223,248 and 312,273 is: 436,798.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,248 : 312,273 = 312,273 : x
  2. Step 2: Convert to fraction form
    223,248/312,273 = 312,273/x
  3. Step 3: Cross multiply
    223,248x = 312,273 × 312,273
  4. Step 4: Simplify right side
    223,248x = 97,514,426,529
  5. Step 5: Solve for x
    x = 97,514,426,529/223,248
  6. Step 6: Final answer
    x = 436,798.66

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.