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Finding the Third Proportional to 361,116 and 561,780

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Solution

The third proportional to 361,116 and 561,780 is: 873,948.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    361,116 : 561,780 = 561,780 : x
  2. Step 2: Convert to fraction form
    361,116/561,780 = 561,780/x
  3. Step 3: Cross multiply
    361,116x = 561,780 × 561,780
  4. Step 4: Simplify right side
    361,116x = 315,596,768,400
  5. Step 5: Solve for x
    x = 315,596,768,400/361,116
  6. Step 6: Final answer
    x = 873,948.45

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.