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Finding the Third Proportional to 142,938 and 305,541

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Solution

The third proportional to 142,938 and 305,541 is: 653,117.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    142,938 : 305,541 = 305,541 : x
  2. Step 2: Convert to fraction form
    142,938/305,541 = 305,541/x
  3. Step 3: Cross multiply
    142,938x = 305,541 × 305,541
  4. Step 4: Simplify right side
    142,938x = 93,355,302,681
  5. Step 5: Solve for x
    x = 93,355,302,681/142,938
  6. Step 6: Final answer
    x = 653,117.45

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.