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Finding the Third Proportional to 140,629.50 and 312,363

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Solution

The third proportional to 140,629.50 and 312,363 is: 693,813.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    140,629.50 : 312,363 = 312,363 : x
  2. Step 2: Convert to fraction form
    140,629.50/312,363 = 312,363/x
  3. Step 3: Cross multiply
    140,629.50x = 312,363 × 312,363
  4. Step 4: Simplify right side
    140,629.50x = 97,570,643,769
  5. Step 5: Solve for x
    x = 97,570,643,769/140,629.50
  6. Step 6: Final answer
    x = 693,813.49

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.