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Finding the Third Proportional to 255,091 and 554,470

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Solution

The third proportional to 255,091 and 554,470 is: 1,205,205.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,091 : 554,470 = 554,470 : x
  2. Step 2: Convert to fraction form
    255,091/554,470 = 554,470/x
  3. Step 3: Cross multiply
    255,091x = 554,470 × 554,470
  4. Step 4: Simplify right side
    255,091x = 307,436,980,900
  5. Step 5: Solve for x
    x = 307,436,980,900/255,091
  6. Step 6: Final answer
    x = 1,205,205.13

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.