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Finding the Third Proportional to 604,401.75 and 821,326.50

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Solution

The third proportional to 604,401.75 and 821,326.50 is: 1,116,107.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    604,401.75 : 821,326.50 = 821,326.50 : x
  2. Step 2: Convert to fraction form
    604,401.75/821,326.50 = 821,326.50/x
  3. Step 3: Cross multiply
    604,401.75x = 821,326.50 × 821,326.50
  4. Step 4: Simplify right side
    604,401.75x = 674,577,219,602.25
  5. Step 5: Solve for x
    x = 674,577,219,602.25/604,401.75
  6. Step 6: Final answer
    x = 1,116,107.32

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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.