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Finding the Third Proportional to 319,808 and 469,344

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Solution

The third proportional to 319,808 and 469,344 is: 688,800.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,808 : 469,344 = 469,344 : x
  2. Step 2: Convert to fraction form
    319,808/469,344 = 469,344/x
  3. Step 3: Cross multiply
    319,808x = 469,344 × 469,344
  4. Step 4: Simplify right side
    319,808x = 220,283,790,336
  5. Step 5: Solve for x
    x = 220,283,790,336/319,808
  6. Step 6: Final answer
    x = 688,800.12

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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.