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Finding the Third Proportional to 287,148 and 631,340.25

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Solution

The third proportional to 287,148 and 631,340.25 is: 1,388,101.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,148 : 631,340.25 = 631,340.25 : x
  2. Step 2: Convert to fraction form
    287,148/631,340.25 = 631,340.25/x
  3. Step 3: Cross multiply
    287,148x = 631,340.25 × 631,340.25
  4. Step 4: Simplify right side
    287,148x = 398,590,511,270.06
  5. Step 5: Solve for x
    x = 398,590,511,270.06/287,148
  6. Step 6: Final answer
    x = 1,388,101.30

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.