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Finding the Third Proportional to 145,523.25 and 312,309

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Solution

The third proportional to 145,523.25 and 312,309 is: 670,249.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,523.25 : 312,309 = 312,309 : x
  2. Step 2: Convert to fraction form
    145,523.25/312,309 = 312,309/x
  3. Step 3: Cross multiply
    145,523.25x = 312,309 × 312,309
  4. Step 4: Simplify right side
    145,523.25x = 97,536,911,481
  5. Step 5: Solve for x
    x = 97,536,911,481/145,523.25
  6. Step 6: Final answer
    x = 670,249.68

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.