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Finding the Third Proportional to 387,345 and 830,722

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Solution

The third proportional to 387,345 and 830,722 is: 1,781,613.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,345 : 830,722 = 830,722 : x
  2. Step 2: Convert to fraction form
    387,345/830,722 = 830,722/x
  3. Step 3: Cross multiply
    387,345x = 830,722 × 830,722
  4. Step 4: Simplify right side
    387,345x = 690,099,041,284
  5. Step 5: Solve for x
    x = 690,099,041,284/387,345
  6. Step 6: Final answer
    x = 1,781,613.40

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.