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Finding the Third Proportional to 453,669 and 684,147

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Solution

The third proportional to 453,669 and 684,147 is: 1,031,715.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,669 : 684,147 = 684,147 : x
  2. Step 2: Convert to fraction form
    453,669/684,147 = 684,147/x
  3. Step 3: Cross multiply
    453,669x = 684,147 × 684,147
  4. Step 4: Simplify right side
    453,669x = 468,057,117,609
  5. Step 5: Solve for x
    x = 468,057,117,609/453,669
  6. Step 6: Final answer
    x = 1,031,715.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.