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Finding the Third Proportional to 515,297.95 and 677,614.36

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Solution

The third proportional to 515,297.95 and 677,614.36 is: 891,059.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,297.95 : 677,614.36 = 677,614.36 : x
  2. Step 2: Convert to fraction form
    515,297.95/677,614.36 = 677,614.36/x
  3. Step 3: Cross multiply
    515,297.95x = 677,614.36 × 677,614.36
  4. Step 4: Simplify right side
    515,297.95x = 459,161,220,031.19
  5. Step 5: Solve for x
    x = 459,161,220,031.19/515,297.95
  6. Step 6: Final answer
    x = 891,059.66

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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.