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Finding the Third Proportional to 424,575 and 642,339

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Solution

The third proportional to 424,575 and 642,339 is: 971,793.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    424,575 : 642,339 = 642,339 : x
  2. Step 2: Convert to fraction form
    424,575/642,339 = 642,339/x
  3. Step 3: Cross multiply
    424,575x = 642,339 × 642,339
  4. Step 4: Simplify right side
    424,575x = 412,599,390,921
  5. Step 5: Solve for x
    x = 412,599,390,921/424,575
  6. Step 6: Final answer
    x = 971,793.89

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.