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Finding the Third Proportional to 165,419 and 358,840

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Solution

The third proportional to 165,419 and 358,840 is: 778,424.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    165,419 : 358,840 = 358,840 : x
  2. Step 2: Convert to fraction form
    165,419/358,840 = 358,840/x
  3. Step 3: Cross multiply
    165,419x = 358,840 × 358,840
  4. Step 4: Simplify right side
    165,419x = 128,766,145,600
  5. Step 5: Solve for x
    x = 128,766,145,600/165,419
  6. Step 6: Final answer
    x = 778,424.16

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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.