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Finding the Third Proportional to 144,920 and 216,043

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Solution

The third proportional to 144,920 and 216,043 is: 322,071.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    144,920 : 216,043 = 216,043 : x
  2. Step 2: Convert to fraction form
    144,920/216,043 = 216,043/x
  3. Step 3: Cross multiply
    144,920x = 216,043 × 216,043
  4. Step 4: Simplify right side
    144,920x = 46,674,577,849
  5. Step 5: Solve for x
    x = 46,674,577,849/144,920
  6. Step 6: Final answer
    x = 322,071.33

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.