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Finding the Third Proportional to 223,128 and 312,804

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Solution

The third proportional to 223,128 and 312,804 is: 438,521.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,128 : 312,804 = 312,804 : x
  2. Step 2: Convert to fraction form
    223,128/312,804 = 312,804/x
  3. Step 3: Cross multiply
    223,128x = 312,804 × 312,804
  4. Step 4: Simplify right side
    223,128x = 97,846,342,416
  5. Step 5: Solve for x
    x = 97,846,342,416/223,128
  6. Step 6: Final answer
    x = 438,521.13

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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.