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Finding the Third Proportional to 635,009.06 and 905,216.06

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Solution

The third proportional to 635,009.06 and 905,216.06 is: 1,290,400.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    635,009.06 : 905,216.06 = 905,216.06 : x
  2. Step 2: Convert to fraction form
    635,009.06/905,216.06 = 905,216.06/x
  3. Step 3: Cross multiply
    635,009.06x = 905,216.06 × 905,216.06
  4. Step 4: Simplify right side
    635,009.06x = 819,416,119,808.00
  5. Step 5: Solve for x
    x = 819,416,119,808.00/635,009.06
  6. Step 6: Final answer
    x = 1,290,400.67

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.