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Finding the Third Proportional to 319,871 and 684,034

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Solution

The third proportional to 319,871 and 684,034 is: 1,462,785.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,871 : 684,034 = 684,034 : x
  2. Step 2: Convert to fraction form
    319,871/684,034 = 684,034/x
  3. Step 3: Cross multiply
    319,871x = 684,034 × 684,034
  4. Step 4: Simplify right side
    319,871x = 467,902,513,156
  5. Step 5: Solve for x
    x = 467,902,513,156/319,871
  6. Step 6: Final answer
    x = 1,462,785.04

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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.