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Finding the Third Proportional to 339,410 and 712,948

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Solution

The third proportional to 339,410 and 712,948 is: 1,497,583.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    339,410 : 712,948 = 712,948 : x
  2. Step 2: Convert to fraction form
    339,410/712,948 = 712,948/x
  3. Step 3: Cross multiply
    339,410x = 712,948 × 712,948
  4. Step 4: Simplify right side
    339,410x = 508,294,850,704
  5. Step 5: Solve for x
    x = 508,294,850,704/339,410
  6. Step 6: Final answer
    x = 1,497,583.60

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.