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Finding the Third Proportional to 689,358 and 1,458,201

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Solution

The third proportional to 689,358 and 1,458,201 is: 3,084,536.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,358 : 1,458,201 = 1,458,201 : x
  2. Step 2: Convert to fraction form
    689,358/1,458,201 = 1,458,201/x
  3. Step 3: Cross multiply
    689,358x = 1,458,201 × 1,458,201
  4. Step 4: Simplify right side
    689,358x = 2,126,350,156,401
  5. Step 5: Solve for x
    x = 2,126,350,156,401/689,358
  6. Step 6: Final answer
    x = 3,084,536.85

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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.