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Finding the Third Proportional to 165,580 and 358,808

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Solution

The third proportional to 165,580 and 358,808 is: 777,528.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,580 : 358,808 = 358,808 : x
  2. Step 2: Convert to fraction form
    165,580/358,808 = 358,808/x
  3. Step 3: Cross multiply
    165,580x = 358,808 × 358,808
  4. Step 4: Simplify right side
    165,580x = 128,743,180,864
  5. Step 5: Solve for x
    x = 128,743,180,864/165,580
  6. Step 6: Final answer
    x = 777,528.57

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.