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Finding the Third Proportional to 100,002.09 and 218,684.81

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Solution

The third proportional to 100,002.09 and 218,684.81 is: 478,220.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,002.09 : 218,684.81 = 218,684.81 : x
  2. Step 2: Convert to fraction form
    100,002.09/218,684.81 = 218,684.81/x
  3. Step 3: Cross multiply
    100,002.09x = 218,684.81 × 218,684.81
  4. Step 4: Simplify right side
    100,002.09x = 47,823,047,218.16
  5. Step 5: Solve for x
    x = 47,823,047,218.16/100,002.09
  6. Step 6: Final answer
    x = 478,220.46

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.