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Finding the Third Proportional to 641,833 and 1,390,691

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Solution

The third proportional to 641,833 and 1,390,691 is: 3,013,278.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    641,833 : 1,390,691 = 1,390,691 : x
  2. Step 2: Convert to fraction form
    641,833/1,390,691 = 1,390,691/x
  3. Step 3: Cross multiply
    641,833x = 1,390,691 × 1,390,691
  4. Step 4: Simplify right side
    641,833x = 1,934,021,457,481
  5. Step 5: Solve for x
    x = 1,934,021,457,481/641,833
  6. Step 6: Final answer
    x = 3,013,278.31

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.