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Finding the Third Proportional to 143,478.84 and 312,792.19

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Solution

The third proportional to 143,478.84 and 312,792.19 is: 681,905.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    143,478.84 : 312,792.19 = 312,792.19 : x
  2. Step 2: Convert to fraction form
    143,478.84/312,792.19 = 312,792.19/x
  3. Step 3: Cross multiply
    143,478.84x = 312,792.19 × 312,792.19
  4. Step 4: Simplify right side
    143,478.84x = 97,838,952,561.04
  5. Step 5: Solve for x
    x = 97,838,952,561.04/143,478.84
  6. Step 6: Final answer
    x = 681,905.08

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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.