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Finding the Third Proportional to 301,428 and 415,230.75

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Solution

The third proportional to 301,428 and 415,230.75 is: 571,999.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,428 : 415,230.75 = 415,230.75 : x
  2. Step 2: Convert to fraction form
    301,428/415,230.75 = 415,230.75/x
  3. Step 3: Cross multiply
    301,428x = 415,230.75 × 415,230.75
  4. Step 4: Simplify right side
    301,428x = 172,416,575,745.56
  5. Step 5: Solve for x
    x = 172,416,575,745.56/301,428
  6. Step 6: Final answer
    x = 571,999.20

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1.5x scale

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.