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Finding the Third Proportional to 287,564.25 and 622,726.50

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Solution

The third proportional to 287,564.25 and 622,726.50 is: 1,348,527.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,564.25 : 622,726.50 = 622,726.50 : x
  2. Step 2: Convert to fraction form
    287,564.25/622,726.50 = 622,726.50/x
  3. Step 3: Cross multiply
    287,564.25x = 622,726.50 × 622,726.50
  4. Step 4: Simplify right side
    287,564.25x = 387,788,293,802.25
  5. Step 5: Solve for x
    x = 387,788,293,802.25/287,564.25
  6. Step 6: Final answer
    x = 1,348,527.48

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.