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Finding the Third Proportional to 515,297 and 677,614

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Solution

The third proportional to 515,297 and 677,614 is: 891,060.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,297 : 677,614 = 677,614 : x
  2. Step 2: Convert to fraction form
    515,297/677,614 = 677,614/x
  3. Step 3: Cross multiply
    515,297x = 677,614 × 677,614
  4. Step 4: Simplify right side
    515,297x = 459,160,732,996
  5. Step 5: Solve for x
    x = 459,160,732,996/515,297
  6. Step 6: Final answer
    x = 891,060.37

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.