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Finding the Third Proportional to 689,363 and 1,458,214

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Solution

The third proportional to 689,363 and 1,458,214 is: 3,084,569.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,363 : 1,458,214 = 1,458,214 : x
  2. Step 2: Convert to fraction form
    689,363/1,458,214 = 1,458,214/x
  3. Step 3: Cross multiply
    689,363x = 1,458,214 × 1,458,214
  4. Step 4: Simplify right side
    689,363x = 2,126,388,069,796
  5. Step 5: Solve for x
    x = 2,126,388,069,796/689,363
  6. Step 6: Final answer
    x = 3,084,569.48

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.