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Finding the Third Proportional to 287,712 and 626,904

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Solution

The third proportional to 287,712 and 626,904 is: 1,365,979.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,712 : 626,904 = 626,904 : x
  2. Step 2: Convert to fraction form
    287,712/626,904 = 626,904/x
  3. Step 3: Cross multiply
    287,712x = 626,904 × 626,904
  4. Step 4: Simplify right side
    287,712x = 393,008,625,216
  5. Step 5: Solve for x
    x = 393,008,625,216/287,712
  6. Step 6: Final answer
    x = 1,365,979.26

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.