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Finding the Third Proportional to 301,356 and 413,220

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Solution

The third proportional to 301,356 and 413,220 is: 566,608.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,356 : 413,220 = 413,220 : x
  2. Step 2: Convert to fraction form
    301,356/413,220 = 413,220/x
  3. Step 3: Cross multiply
    301,356x = 413,220 × 413,220
  4. Step 4: Simplify right side
    301,356x = 170,750,768,400
  5. Step 5: Solve for x
    x = 170,750,768,400/301,356
  6. Step 6: Final answer
    x = 566,608.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.