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Finding the Third Proportional to 687,635 and 1,051,220

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Solution

The third proportional to 687,635 and 1,051,220 is: 1,607,049.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    687,635 : 1,051,220 = 1,051,220 : x
  2. Step 2: Convert to fraction form
    687,635/1,051,220 = 1,051,220/x
  3. Step 3: Cross multiply
    687,635x = 1,051,220 × 1,051,220
  4. Step 4: Simplify right side
    687,635x = 1,105,063,488,400
  5. Step 5: Solve for x
    x = 1,105,063,488,400/687,635
  6. Step 6: Final answer
    x = 1,607,049.51

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.