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Finding the Third Proportional to 356,143 and 768,464

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Solution

The third proportional to 356,143 and 768,464 is: 1,658,145.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,143 : 768,464 = 768,464 : x
  2. Step 2: Convert to fraction form
    356,143/768,464 = 768,464/x
  3. Step 3: Cross multiply
    356,143x = 768,464 × 768,464
  4. Step 4: Simplify right side
    356,143x = 590,536,919,296
  5. Step 5: Solve for x
    x = 590,536,919,296/356,143
  6. Step 6: Final answer
    x = 1,658,145.52

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.