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Finding the Third Proportional to 555,344 and 830,640

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Solution

The third proportional to 555,344 and 830,640 is: 1,242,406.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    555,344 : 830,640 = 830,640 : x
  2. Step 2: Convert to fraction form
    555,344/830,640 = 830,640/x
  3. Step 3: Cross multiply
    555,344x = 830,640 × 830,640
  4. Step 4: Simplify right side
    555,344x = 689,962,809,600
  5. Step 5: Solve for x
    x = 689,962,809,600/555,344
  6. Step 6: Final answer
    x = 1,242,406.17

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.