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Finding the Third Proportional to 508,556 and 787,944

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Solution

The third proportional to 508,556 and 787,944 is: 1,220,820.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    508,556 : 787,944 = 787,944 : x
  2. Step 2: Convert to fraction form
    508,556/787,944 = 787,944/x
  3. Step 3: Cross multiply
    508,556x = 787,944 × 787,944
  4. Step 4: Simplify right side
    508,556x = 620,855,747,136
  5. Step 5: Solve for x
    x = 620,855,747,136/508,556
  6. Step 6: Final answer
    x = 1,220,820.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.