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Finding the Third Proportional to 469,862 and 715,809

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Solution

The third proportional to 469,862 and 715,809 is: 1,090,495.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    469,862 : 715,809 = 715,809 : x
  2. Step 2: Convert to fraction form
    469,862/715,809 = 715,809/x
  3. Step 3: Cross multiply
    469,862x = 715,809 × 715,809
  4. Step 4: Simplify right side
    469,862x = 512,382,524,481
  5. Step 5: Solve for x
    x = 512,382,524,481/469,862
  6. Step 6: Final answer
    x = 1,090,495.77

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.