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Finding the Third Proportional to 144,347 and 316,989

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Solution

The third proportional to 144,347 and 316,989 is: 696,114.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,347 : 316,989 = 316,989 : x
  2. Step 2: Convert to fraction form
    144,347/316,989 = 316,989/x
  3. Step 3: Cross multiply
    144,347x = 316,989 × 316,989
  4. Step 4: Simplify right side
    144,347x = 100,482,026,121
  5. Step 5: Solve for x
    x = 100,482,026,121/144,347
  6. Step 6: Final answer
    x = 696,114.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.