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Finding the Third Proportional to 591,138 and 917,200

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Solution

The third proportional to 591,138 and 917,200 is: 1,423,112.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    591,138 : 917,200 = 917,200 : x
  2. Step 2: Convert to fraction form
    591,138/917,200 = 917,200/x
  3. Step 3: Cross multiply
    591,138x = 917,200 × 917,200
  4. Step 4: Simplify right side
    591,138x = 841,255,840,000
  5. Step 5: Solve for x
    x = 841,255,840,000/591,138
  6. Step 6: Final answer
    x = 1,423,112.44

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.