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Finding the Third Proportional to 319,628 and 693,931

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Solution

The third proportional to 319,628 and 693,931 is: 1,506,564.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,628 : 693,931 = 693,931 : x
  2. Step 2: Convert to fraction form
    319,628/693,931 = 693,931/x
  3. Step 3: Cross multiply
    319,628x = 693,931 × 693,931
  4. Step 4: Simplify right side
    319,628x = 481,540,232,761
  5. Step 5: Solve for x
    x = 481,540,232,761/319,628
  6. Step 6: Final answer
    x = 1,506,564.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.