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Finding the Third Proportional to 145,599 and 217,426.50

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Solution

The third proportional to 145,599 and 217,426.50 is: 324,688.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,599 : 217,426.50 = 217,426.50 : x
  2. Step 2: Convert to fraction form
    145,599/217,426.50 = 217,426.50/x
  3. Step 3: Cross multiply
    145,599x = 217,426.50 × 217,426.50
  4. Step 4: Simplify right side
    145,599x = 47,274,282,902.25
  5. Step 5: Solve for x
    x = 47,274,282,902.25/145,599
  6. Step 6: Final answer
    x = 324,688.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.