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Finding the Third Proportional to 30,645 and 45,393.75

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Solution

The third proportional to 30,645 and 45,393.75 is: 67,240.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,645 : 45,393.75 = 45,393.75 : x
  2. Step 2: Convert to fraction form
    30,645/45,393.75 = 45,393.75/x
  3. Step 3: Cross multiply
    30,645x = 45,393.75 × 45,393.75
  4. Step 4: Simplify right side
    30,645x = 2,060,592,539.06
  5. Step 5: Solve for x
    x = 2,060,592,539.06/30,645
  6. Step 6: Final answer
    x = 67,240.74

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.