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Finding the Third Proportional to 357,425 and 769,768

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Solution

The third proportional to 357,425 and 769,768 is: 1,657,810.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,425 : 769,768 = 769,768 : x
  2. Step 2: Convert to fraction form
    357,425/769,768 = 769,768/x
  3. Step 3: Cross multiply
    357,425x = 769,768 × 769,768
  4. Step 4: Simplify right side
    357,425x = 592,542,773,824
  5. Step 5: Solve for x
    x = 592,542,773,824/357,425
  6. Step 6: Final answer
    x = 1,657,810.10

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.