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Finding the Third Proportional to 165,401 and 358,807.75

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Solution

The third proportional to 165,401 and 358,807.75 is: 778,368.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,401 : 358,807.75 = 358,807.75 : x
  2. Step 2: Convert to fraction form
    165,401/358,807.75 = 358,807.75/x
  3. Step 3: Cross multiply
    165,401x = 358,807.75 × 358,807.75
  4. Step 4: Simplify right side
    165,401x = 128,743,001,460.06
  5. Step 5: Solve for x
    x = 128,743,001,460.06/165,401
  6. Step 6: Final answer
    x = 778,368.94

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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.