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Finding the Third Proportional to 299,196 and 645,948

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Solution

The third proportional to 299,196 and 645,948 is: 1,394,566.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,196 : 645,948 = 645,948 : x
  2. Step 2: Convert to fraction form
    299,196/645,948 = 645,948/x
  3. Step 3: Cross multiply
    299,196x = 645,948 × 645,948
  4. Step 4: Simplify right side
    299,196x = 417,248,818,704
  5. Step 5: Solve for x
    x = 417,248,818,704/299,196
  6. Step 6: Final answer
    x = 1,394,566.83

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.