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Finding the Third Proportional to 287,685 and 451,298.25

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Solution

The third proportional to 287,685 and 451,298.25 is: 707,962.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,685 : 451,298.25 = 451,298.25 : x
  2. Step 2: Convert to fraction form
    287,685/451,298.25 = 451,298.25/x
  3. Step 3: Cross multiply
    287,685x = 451,298.25 × 451,298.25
  4. Step 4: Simplify right side
    287,685x = 203,670,110,453.06
  5. Step 5: Solve for x
    x = 203,670,110,453.06/287,685
  6. Step 6: Final answer
    x = 707,962.22

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.