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Finding the Third Proportional to 642,872 and 1,523,040

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Solution

The third proportional to 642,872 and 1,523,040 is: 3,608,262.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    642,872 : 1,523,040 = 1,523,040 : x
  2. Step 2: Convert to fraction form
    642,872/1,523,040 = 1,523,040/x
  3. Step 3: Cross multiply
    642,872x = 1,523,040 × 1,523,040
  4. Step 4: Simplify right side
    642,872x = 2,319,650,841,600
  5. Step 5: Solve for x
    x = 2,319,650,841,600/642,872
  6. Step 6: Final answer
    x = 3,608,262.36

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Why These Related Problems?

These problems maintain the same ratio (2.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.