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Finding the Third Proportional to 397,324 and 869,730

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Solution

The third proportional to 397,324 and 869,730 is: 1,903,812.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,324 : 869,730 = 869,730 : x
  2. Step 2: Convert to fraction form
    397,324/869,730 = 869,730/x
  3. Step 3: Cross multiply
    397,324x = 869,730 × 869,730
  4. Step 4: Simplify right side
    397,324x = 756,430,272,900
  5. Step 5: Solve for x
    x = 756,430,272,900/397,324
  6. Step 6: Final answer
    x = 1,903,812.19

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.