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Finding the Third Proportional to 145,643.50 and 220,720.50

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Solution

The third proportional to 145,643.50 and 220,720.50 is: 334,498.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,643.50 : 220,720.50 = 220,720.50 : x
  2. Step 2: Convert to fraction form
    145,643.50/220,720.50 = 220,720.50/x
  3. Step 3: Cross multiply
    145,643.50x = 220,720.50 × 220,720.50
  4. Step 4: Simplify right side
    145,643.50x = 48,717,539,120.25
  5. Step 5: Solve for x
    x = 48,717,539,120.25/145,643.50
  6. Step 6: Final answer
    x = 334,498.55

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.