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Finding the Third Proportional to 301,731.75 and 455,672.25

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Solution

The third proportional to 301,731.75 and 455,672.25 is: 688,151.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    301,731.75 : 455,672.25 = 455,672.25 : x
  2. Step 2: Convert to fraction form
    301,731.75/455,672.25 = 455,672.25/x
  3. Step 3: Cross multiply
    301,731.75x = 455,672.25 × 455,672.25
  4. Step 4: Simplify right side
    301,731.75x = 207,637,199,420.06
  5. Step 5: Solve for x
    x = 207,637,199,420.06/301,731.75
  6. Step 6: Final answer
    x = 688,151.64

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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.