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Finding the Third Proportional to 100,285 and 147,430

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Solution

The third proportional to 100,285 and 147,430 is: 216,738.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,285 : 147,430 = 147,430 : x
  2. Step 2: Convert to fraction form
    100,285/147,430 = 147,430/x
  3. Step 3: Cross multiply
    100,285x = 147,430 × 147,430
  4. Step 4: Simplify right side
    100,285x = 21,735,604,900
  5. Step 5: Solve for x
    x = 21,735,604,900/100,285
  6. Step 6: Final answer
    x = 216,738.34

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.