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Finding the Third Proportional to 165,820 and 355,280

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Solution

The third proportional to 165,820 and 355,280 is: 761,210.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,820 : 355,280 = 355,280 : x
  2. Step 2: Convert to fraction form
    165,820/355,280 = 355,280/x
  3. Step 3: Cross multiply
    165,820x = 355,280 × 355,280
  4. Step 4: Simplify right side
    165,820x = 126,223,878,400
  5. Step 5: Solve for x
    x = 126,223,878,400/165,820
  6. Step 6: Final answer
    x = 761,210.22

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.