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Finding the Third Proportional to 432,358 and 687,029

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Solution

The third proportional to 432,358 and 687,029 is: 1,091,708.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    432,358 : 687,029 = 687,029 : x
  2. Step 2: Convert to fraction form
    432,358/687,029 = 687,029/x
  3. Step 3: Cross multiply
    432,358x = 687,029 × 687,029
  4. Step 4: Simplify right side
    432,358x = 472,008,846,841
  5. Step 5: Solve for x
    x = 472,008,846,841/432,358
  6. Step 6: Final answer
    x = 1,091,708.37

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.