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Finding the Third Proportional to 319,698 and 469,179

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Solution

The third proportional to 319,698 and 469,179 is: 688,552.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,698 : 469,179 = 469,179 : x
  2. Step 2: Convert to fraction form
    319,698/469,179 = 469,179/x
  3. Step 3: Cross multiply
    319,698x = 469,179 × 469,179
  4. Step 4: Simplify right side
    319,698x = 220,128,934,041
  5. Step 5: Solve for x
    x = 220,128,934,041/319,698
  6. Step 6: Final answer
    x = 688,552.74

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.