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Finding the Third Proportional to 145,611 and 319,268.25

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Solution

The third proportional to 145,611 and 319,268.25 is: 700,031.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,611 : 319,268.25 = 319,268.25 : x
  2. Step 2: Convert to fraction form
    145,611/319,268.25 = 319,268.25/x
  3. Step 3: Cross multiply
    145,611x = 319,268.25 × 319,268.25
  4. Step 4: Simplify right side
    145,611x = 101,932,215,458.06
  5. Step 5: Solve for x
    x = 101,932,215,458.06/145,611
  6. Step 6: Final answer
    x = 700,031.01

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.