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Finding the Third Proportional to 475,710 and 647,955

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Solution

The third proportional to 475,710 and 647,955 is: 882,566.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,710 : 647,955 = 647,955 : x
  2. Step 2: Convert to fraction form
    475,710/647,955 = 647,955/x
  3. Step 3: Cross multiply
    475,710x = 647,955 × 647,955
  4. Step 4: Simplify right side
    475,710x = 419,845,682,025
  5. Step 5: Solve for x
    x = 419,845,682,025/475,710
  6. Step 6: Final answer
    x = 882,566.44

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.