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Finding the Third Proportional to 165,640 and 357,506

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Solution

The third proportional to 165,640 and 357,506 is: 771,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,640 : 357,506 = 357,506 : x
  2. Step 2: Convert to fraction form
    165,640/357,506 = 357,506/x
  3. Step 3: Cross multiply
    165,640x = 357,506 × 357,506
  4. Step 4: Simplify right side
    165,640x = 127,810,540,036
  5. Step 5: Solve for x
    x = 127,810,540,036/165,640
  6. Step 6: Final answer
    x = 771,616.40

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.