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Finding the Third Proportional to 319,803 and 688,008

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Solution

The third proportional to 319,803 and 688,008 is: 1,480,145.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,803 : 688,008 = 688,008 : x
  2. Step 2: Convert to fraction form
    319,803/688,008 = 688,008/x
  3. Step 3: Cross multiply
    319,803x = 688,008 × 688,008
  4. Step 4: Simplify right side
    319,803x = 473,355,008,064
  5. Step 5: Solve for x
    x = 473,355,008,064/319,803
  6. Step 6: Final answer
    x = 1,480,145.61

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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.