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Finding the Third Proportional to 145,641 and 219,487.50

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Solution

The third proportional to 145,641 and 219,487.50 is: 330,777.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,641 : 219,487.50 = 219,487.50 : x
  2. Step 2: Convert to fraction form
    145,641/219,487.50 = 219,487.50/x
  3. Step 3: Cross multiply
    145,641x = 219,487.50 × 219,487.50
  4. Step 4: Simplify right side
    145,641x = 48,174,762,656.25
  5. Step 5: Solve for x
    x = 48,174,762,656.25/145,641
  6. Step 6: Final answer
    x = 330,777.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.