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Finding the Third Proportional to 355,190 and 760,762

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Solution

The third proportional to 355,190 and 760,762 is: 1,629,434.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,190 : 760,762 = 760,762 : x
  2. Step 2: Convert to fraction form
    355,190/760,762 = 760,762/x
  3. Step 3: Cross multiply
    355,190x = 760,762 × 760,762
  4. Step 4: Simplify right side
    355,190x = 578,758,820,644
  5. Step 5: Solve for x
    x = 578,758,820,644/355,190
  6. Step 6: Final answer
    x = 1,629,434.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.