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Finding the Third Proportional to 668,980 and 953,642

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Solution

The third proportional to 668,980 and 953,642 is: 1,359,432.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,980 : 953,642 = 953,642 : x
  2. Step 2: Convert to fraction form
    668,980/953,642 = 953,642/x
  3. Step 3: Cross multiply
    668,980x = 953,642 × 953,642
  4. Step 4: Simplify right side
    668,980x = 909,433,064,164
  5. Step 5: Solve for x
    x = 909,433,064,164/668,980
  6. Step 6: Final answer
    x = 1,359,432.37

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.