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Finding the Third Proportional to 104,328 and 223,411.50

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Solution

The third proportional to 104,328 and 223,411.50 is: 478,420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,328 : 223,411.50 = 223,411.50 : x
  2. Step 2: Convert to fraction form
    104,328/223,411.50 = 223,411.50/x
  3. Step 3: Cross multiply
    104,328x = 223,411.50 × 223,411.50
  4. Step 4: Simplify right side
    104,328x = 49,912,698,332.25
  5. Step 5: Solve for x
    x = 49,912,698,332.25/104,328
  6. Step 6: Final answer
    x = 478,420.93

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.