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Finding the Third Proportional to 301,726 and 415,630

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Solution

The third proportional to 301,726 and 415,630 is: 572,533.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,726 : 415,630 = 415,630 : x
  2. Step 2: Convert to fraction form
    301,726/415,630 = 415,630/x
  3. Step 3: Cross multiply
    301,726x = 415,630 × 415,630
  4. Step 4: Simplify right side
    301,726x = 172,748,296,900
  5. Step 5: Solve for x
    x = 172,748,296,900/301,726
  6. Step 6: Final answer
    x = 572,533.68

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.