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Finding the Third Proportional to 720,009 and 929,110.50

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Solution

The third proportional to 720,009 and 929,110.50 is: 1,198,938.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    720,009 : 929,110.50 = 929,110.50 : x
  2. Step 2: Convert to fraction form
    720,009/929,110.50 = 929,110.50/x
  3. Step 3: Cross multiply
    720,009x = 929,110.50 × 929,110.50
  4. Step 4: Simplify right side
    720,009x = 863,246,321,210.25
  5. Step 5: Solve for x
    x = 863,246,321,210.25/720,009
  6. Step 6: Final answer
    x = 1,198,938.24

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Why These Related Problems?

These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.