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Finding the Third Proportional to 515,296.50 and 677,613

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Solution

The third proportional to 515,296.50 and 677,613 is: 891,058.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    515,296.50 : 677,613 = 677,613 : x
  2. Step 2: Convert to fraction form
    515,296.50/677,613 = 677,613/x
  3. Step 3: Cross multiply
    515,296.50x = 677,613 × 677,613
  4. Step 4: Simplify right side
    515,296.50x = 459,159,377,769
  5. Step 5: Solve for x
    x = 459,159,377,769/515,296.50
  6. Step 6: Final answer
    x = 891,058.60

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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.