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Finding the Third Proportional to 319,386 and 681,621

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Solution

The third proportional to 319,386 and 681,621 is: 1,454,688.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,386 : 681,621 = 681,621 : x
  2. Step 2: Convert to fraction form
    319,386/681,621 = 681,621/x
  3. Step 3: Cross multiply
    319,386x = 681,621 × 681,621
  4. Step 4: Simplify right side
    319,386x = 464,607,187,641
  5. Step 5: Solve for x
    x = 464,607,187,641/319,386
  6. Step 6: Final answer
    x = 1,454,688.65

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.