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Finding the Third Proportional to 144,354 and 314,913

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Solution

The third proportional to 144,354 and 314,913 is: 686,993.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,354 : 314,913 = 314,913 : x
  2. Step 2: Convert to fraction form
    144,354/314,913 = 314,913/x
  3. Step 3: Cross multiply
    144,354x = 314,913 × 314,913
  4. Step 4: Simplify right side
    144,354x = 99,170,197,569
  5. Step 5: Solve for x
    x = 99,170,197,569/144,354
  6. Step 6: Final answer
    x = 686,993.07

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.