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Finding the Third Proportional to 553,133 and 756,991

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Solution

The third proportional to 553,133 and 756,991 is: 1,035,981.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    553,133 : 756,991 = 756,991 : x
  2. Step 2: Convert to fraction form
    553,133/756,991 = 756,991/x
  3. Step 3: Cross multiply
    553,133x = 756,991 × 756,991
  4. Step 4: Simplify right side
    553,133x = 573,035,374,081
  5. Step 5: Solve for x
    x = 573,035,374,081/553,133
  6. Step 6: Final answer
    x = 1,035,981.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.