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Finding the Third Proportional to 286,983 and 625,637

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Solution

The third proportional to 286,983 and 625,637 is: 1,363,919.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,983 : 625,637 = 625,637 : x
  2. Step 2: Convert to fraction form
    286,983/625,637 = 625,637/x
  3. Step 3: Cross multiply
    286,983x = 625,637 × 625,637
  4. Step 4: Simplify right side
    286,983x = 391,421,655,769
  5. Step 5: Solve for x
    x = 391,421,655,769/286,983
  6. Step 6: Final answer
    x = 1,363,919.31

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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.