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Finding the Third Proportional to 366,770 and 557,648

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Solution

The third proportional to 366,770 and 557,648 is: 847,864.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    366,770 : 557,648 = 557,648 : x
  2. Step 2: Convert to fraction form
    366,770/557,648 = 557,648/x
  3. Step 3: Cross multiply
    366,770x = 557,648 × 557,648
  4. Step 4: Simplify right side
    366,770x = 310,971,291,904
  5. Step 5: Solve for x
    x = 310,971,291,904/366,770
  6. Step 6: Final answer
    x = 847,864.58

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.