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Finding the Third Proportional to 456,610 and 727,197

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Solution

The third proportional to 456,610 and 727,197 is: 1,158,133.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,610 : 727,197 = 727,197 : x
  2. Step 2: Convert to fraction form
    456,610/727,197 = 727,197/x
  3. Step 3: Cross multiply
    456,610x = 727,197 × 727,197
  4. Step 4: Simplify right side
    456,610x = 528,815,476,809
  5. Step 5: Solve for x
    x = 528,815,476,809/456,610
  6. Step 6: Final answer
    x = 1,158,133.81

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.