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Finding the Third Proportional to 301,726 and 455,666

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Solution

The third proportional to 301,726 and 455,666 is: 688,145.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,726 : 455,666 = 455,666 : x
  2. Step 2: Convert to fraction form
    301,726/455,666 = 455,666/x
  3. Step 3: Cross multiply
    301,726x = 455,666 × 455,666
  4. Step 4: Simplify right side
    301,726x = 207,631,503,556
  5. Step 5: Solve for x
    x = 207,631,503,556/301,726
  6. Step 6: Final answer
    x = 688,145.88

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.