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Finding the Third Proportional to 442,938 and 683,968

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Solution

The third proportional to 442,938 and 683,968 is: 1,056,157.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    442,938 : 683,968 = 683,968 : x
  2. Step 2: Convert to fraction form
    442,938/683,968 = 683,968/x
  3. Step 3: Cross multiply
    442,938x = 683,968 × 683,968
  4. Step 4: Simplify right side
    442,938x = 467,812,225,024
  5. Step 5: Solve for x
    x = 467,812,225,024/442,938
  6. Step 6: Final answer
    x = 1,056,157.35

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.