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Finding the Third Proportional to 486,116 and 760,836

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Solution

The third proportional to 486,116 and 760,836 is: 1,190,809.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    486,116 : 760,836 = 760,836 : x
  2. Step 2: Convert to fraction form
    486,116/760,836 = 760,836/x
  3. Step 3: Cross multiply
    486,116x = 760,836 × 760,836
  4. Step 4: Simplify right side
    486,116x = 578,871,418,896
  5. Step 5: Solve for x
    x = 578,871,418,896/486,116
  6. Step 6: Final answer
    x = 1,190,809.23

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.