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Finding the Third Proportional to 286,157.75 and 455,504.50

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Solution

The third proportional to 286,157.75 and 455,504.50 is: 725,069.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,157.75 : 455,504.50 = 455,504.50 : x
  2. Step 2: Convert to fraction form
    286,157.75/455,504.50 = 455,504.50/x
  3. Step 3: Cross multiply
    286,157.75x = 455,504.50 × 455,504.50
  4. Step 4: Simplify right side
    286,157.75x = 207,484,349,520.25
  5. Step 5: Solve for x
    x = 207,484,349,520.25/286,157.75
  6. Step 6: Final answer
    x = 725,069.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.