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Finding the Third Proportional to 645,903 and 1,508,642

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Solution

The third proportional to 645,903 and 1,508,642 is: 3,523,749.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    645,903 : 1,508,642 = 1,508,642 : x
  2. Step 2: Convert to fraction form
    645,903/1,508,642 = 1,508,642/x
  3. Step 3: Cross multiply
    645,903x = 1,508,642 × 1,508,642
  4. Step 4: Simplify right side
    645,903x = 2,276,000,684,164
  5. Step 5: Solve for x
    x = 2,276,000,684,164/645,903
  6. Step 6: Final answer
    x = 3,523,749.98

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.