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Finding the Third Proportional to 223,406 and 312,509.50

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Solution

The third proportional to 223,406 and 312,509.50 is: 437,151.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    223,406 : 312,509.50 = 312,509.50 : x
  2. Step 2: Convert to fraction form
    223,406/312,509.50 = 312,509.50/x
  3. Step 3: Cross multiply
    223,406x = 312,509.50 × 312,509.50
  4. Step 4: Simplify right side
    223,406x = 97,662,187,590.25
  5. Step 5: Solve for x
    x = 97,662,187,590.25/223,406
  6. Step 6: Final answer
    x = 437,151.14

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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.