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Finding the Third Proportional to 319,822 and 688,040

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Solution

The third proportional to 319,822 and 688,040 is: 1,480,195.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,822 : 688,040 = 688,040 : x
  2. Step 2: Convert to fraction form
    319,822/688,040 = 688,040/x
  3. Step 3: Cross multiply
    319,822x = 688,040 × 688,040
  4. Step 4: Simplify right side
    319,822x = 473,399,041,600
  5. Step 5: Solve for x
    x = 473,399,041,600/319,822
  6. Step 6: Final answer
    x = 1,480,195.36

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.