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Finding the Third Proportional to 144,210 and 305,043

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Solution

The third proportional to 144,210 and 305,043 is: 645,248.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,210 : 305,043 = 305,043 : x
  2. Step 2: Convert to fraction form
    144,210/305,043 = 305,043/x
  3. Step 3: Cross multiply
    144,210x = 305,043 × 305,043
  4. Step 4: Simplify right side
    144,210x = 93,051,231,849
  5. Step 5: Solve for x
    x = 93,051,231,849/144,210
  6. Step 6: Final answer
    x = 645,248.12

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.