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Finding the Third Proportional to 642,783 and 1,411,659

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Solution

The third proportional to 642,783 and 1,411,659 is: 3,100,239.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,783 : 1,411,659 = 1,411,659 : x
  2. Step 2: Convert to fraction form
    642,783/1,411,659 = 1,411,659/x
  3. Step 3: Cross multiply
    642,783x = 1,411,659 × 1,411,659
  4. Step 4: Simplify right side
    642,783x = 1,992,781,132,281
  5. Step 5: Solve for x
    x = 1,992,781,132,281/642,783
  6. Step 6: Final answer
    x = 3,100,239.32

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.