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Finding the Third Proportional to 300,513 and 634,560

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Solution

The third proportional to 300,513 and 634,560 is: 1,339,930.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,513 : 634,560 = 634,560 : x
  2. Step 2: Convert to fraction form
    300,513/634,560 = 634,560/x
  3. Step 3: Cross multiply
    300,513x = 634,560 × 634,560
  4. Step 4: Simplify right side
    300,513x = 402,666,393,600
  5. Step 5: Solve for x
    x = 402,666,393,600/300,513
  6. Step 6: Final answer
    x = 1,339,930.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.