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Finding the Third Proportional to 300,142 and 708,497

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Solution

The third proportional to 300,142 and 708,497 is: 1,672,435.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,142 : 708,497 = 708,497 : x
  2. Step 2: Convert to fraction form
    300,142/708,497 = 708,497/x
  3. Step 3: Cross multiply
    300,142x = 708,497 × 708,497
  4. Step 4: Simplify right side
    300,142x = 501,967,999,009
  5. Step 5: Solve for x
    x = 501,967,999,009/300,142
  6. Step 6: Final answer
    x = 1,672,435.04

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.