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Finding the Third Proportional to 142,938 and 312,534

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Solution

The third proportional to 142,938 and 312,534 is: 683,355.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,938 : 312,534 = 312,534 : x
  2. Step 2: Convert to fraction form
    142,938/312,534 = 312,534/x
  3. Step 3: Cross multiply
    142,938x = 312,534 × 312,534
  4. Step 4: Simplify right side
    142,938x = 97,677,501,156
  5. Step 5: Solve for x
    x = 97,677,501,156/142,938
  6. Step 6: Final answer
    x = 683,355.73

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.