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Finding the Third Proportional to 319,988 and 685,516

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Solution

The third proportional to 319,988 and 685,516 is: 1,468,593.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,988 : 685,516 = 685,516 : x
  2. Step 2: Convert to fraction form
    319,988/685,516 = 685,516/x
  3. Step 3: Cross multiply
    319,988x = 685,516 × 685,516
  4. Step 4: Simplify right side
    319,988x = 469,932,186,256
  5. Step 5: Solve for x
    x = 469,932,186,256/319,988
  6. Step 6: Final answer
    x = 1,468,593.15

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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.