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Finding the Third Proportional to 343,425 and 747,864.75

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Solution

The third proportional to 343,425 and 747,864.75 is: 1,628,599.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,425 : 747,864.75 = 747,864.75 : x
  2. Step 2: Convert to fraction form
    343,425/747,864.75 = 747,864.75/x
  3. Step 3: Cross multiply
    343,425x = 747,864.75 × 747,864.75
  4. Step 4: Simplify right side
    343,425x = 559,301,684,292.56
  5. Step 5: Solve for x
    x = 559,301,684,292.56/343,425
  6. Step 6: Final answer
    x = 1,628,599.21

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.