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Finding the Third Proportional to 686,889 and 1,475,346

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Solution

The third proportional to 686,889 and 1,475,346 is: 3,168,846.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    686,889 : 1,475,346 = 1,475,346 : x
  2. Step 2: Convert to fraction form
    686,889/1,475,346 = 1,475,346/x
  3. Step 3: Cross multiply
    686,889x = 1,475,346 × 1,475,346
  4. Step 4: Simplify right side
    686,889x = 2,176,645,819,716
  5. Step 5: Solve for x
    x = 2,176,645,819,716/686,889
  6. Step 6: Final answer
    x = 3,168,846.52

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.