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Finding the Third Proportional to 144,399 and 316,697

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Solution

The third proportional to 144,399 and 316,697 is: 694,582.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,399 : 316,697 = 316,697 : x
  2. Step 2: Convert to fraction form
    144,399/316,697 = 316,697/x
  3. Step 3: Cross multiply
    144,399x = 316,697 × 316,697
  4. Step 4: Simplify right side
    144,399x = 100,296,989,809
  5. Step 5: Solve for x
    x = 100,296,989,809/144,399
  6. Step 6: Final answer
    x = 694,582.30

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.