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Finding the Third Proportional to 165,681 and 360,690

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Solution

The third proportional to 165,681 and 360,690 is: 785,227.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,681 : 360,690 = 360,690 : x
  2. Step 2: Convert to fraction form
    165,681/360,690 = 360,690/x
  3. Step 3: Cross multiply
    165,681x = 360,690 × 360,690
  4. Step 4: Simplify right side
    165,681x = 130,097,276,100
  5. Step 5: Solve for x
    x = 130,097,276,100/165,681
  6. Step 6: Final answer
    x = 785,227.49

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.