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Finding the Third Proportional to 144,438 and 314,220

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Solution

The third proportional to 144,438 and 314,220 is: 683,575.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,438 : 314,220 = 314,220 : x
  2. Step 2: Convert to fraction form
    144,438/314,220 = 314,220/x
  3. Step 3: Cross multiply
    144,438x = 314,220 × 314,220
  4. Step 4: Simplify right side
    144,438x = 98,734,208,400
  5. Step 5: Solve for x
    x = 98,734,208,400/144,438
  6. Step 6: Final answer
    x = 683,575.02

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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.