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Finding the Third Proportional to 360,962 and 561,129

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Solution

The third proportional to 360,962 and 561,129 is: 872,296.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    360,962 : 561,129 = 561,129 : x
  2. Step 2: Convert to fraction form
    360,962/561,129 = 561,129/x
  3. Step 3: Cross multiply
    360,962x = 561,129 × 561,129
  4. Step 4: Simplify right side
    360,962x = 314,865,754,641
  5. Step 5: Solve for x
    x = 314,865,754,641/360,962
  6. Step 6: Final answer
    x = 872,296.13

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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.