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Finding the Third Proportional to 604,397.95 and 821,321.02

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Solution

The third proportional to 604,397.95 and 821,321.02 is: 1,116,099.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,397.95 : 821,321.02 = 821,321.02 : x
  2. Step 2: Convert to fraction form
    604,397.95/821,321.02 = 821,321.02/x
  3. Step 3: Cross multiply
    604,397.95x = 821,321.02 × 821,321.02
  4. Step 4: Simplify right side
    604,397.95x = 674,568,210,707.28
  5. Step 5: Solve for x
    x = 674,568,210,707.28/604,397.95
  6. Step 6: Final answer
    x = 1,116,099.43

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.