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Finding the Third Proportional to 255,413 and 555,718

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Solution

The third proportional to 255,413 and 555,718 is: 1,209,110.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,413 : 555,718 = 555,718 : x
  2. Step 2: Convert to fraction form
    255,413/555,718 = 555,718/x
  3. Step 3: Cross multiply
    255,413x = 555,718 × 555,718
  4. Step 4: Simplify right side
    255,413x = 308,822,495,524
  5. Step 5: Solve for x
    x = 308,822,495,524/255,413
  6. Step 6: Final answer
    x = 1,209,110.33

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.