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Finding the Third Proportional to 197,415 and 288,747

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Solution

The third proportional to 197,415 and 288,747 is: 422,332.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    197,415 : 288,747 = 288,747 : x
  2. Step 2: Convert to fraction form
    197,415/288,747 = 288,747/x
  3. Step 3: Cross multiply
    197,415x = 288,747 × 288,747
  4. Step 4: Simplify right side
    197,415x = 83,374,830,009
  5. Step 5: Solve for x
    x = 83,374,830,009/197,415
  6. Step 6: Final answer
    x = 422,332.80

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.