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Finding the Third Proportional to 421,968 and 602,982

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Solution

The third proportional to 421,968 and 602,982 is: 861,646.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,968 : 602,982 = 602,982 : x
  2. Step 2: Convert to fraction form
    421,968/602,982 = 602,982/x
  3. Step 3: Cross multiply
    421,968x = 602,982 × 602,982
  4. Step 4: Simplify right side
    421,968x = 363,587,292,324
  5. Step 5: Solve for x
    x = 363,587,292,324/421,968
  6. Step 6: Final answer
    x = 861,646.60

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.