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Finding the Third Proportional to 145,822.78 and 221,684.34

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Solution

The third proportional to 145,822.78 and 221,684.34 is: 337,011.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    145,822.78 : 221,684.34 = 221,684.34 : x
  2. Step 2: Convert to fraction form
    145,822.78/221,684.34 = 221,684.34/x
  3. Step 3: Cross multiply
    145,822.78x = 221,684.34 × 221,684.34
  4. Step 4: Simplify right side
    145,822.78x = 49,143,948,263.87
  5. Step 5: Solve for x
    x = 49,143,948,263.87/145,822.78
  6. Step 6: Final answer
    x = 337,011.46

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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.