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Finding the Third Proportional to 646,390 and 869,529

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Solution

The third proportional to 646,390 and 869,529 is: 1,169,697.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    646,390 : 869,529 = 869,529 : x
  2. Step 2: Convert to fraction form
    646,390/869,529 = 869,529/x
  3. Step 3: Cross multiply
    646,390x = 869,529 × 869,529
  4. Step 4: Simplify right side
    646,390x = 756,080,681,841
  5. Step 5: Solve for x
    x = 756,080,681,841/646,390
  6. Step 6: Final answer
    x = 1,169,697.37

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.