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Finding the Third Proportional to 255,411 and 555,714

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Solution

The third proportional to 255,411 and 555,714 is: 1,209,102.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,411 : 555,714 = 555,714 : x
  2. Step 2: Convert to fraction form
    255,411/555,714 = 555,714/x
  3. Step 3: Cross multiply
    255,411x = 555,714 × 555,714
  4. Step 4: Simplify right side
    255,411x = 308,818,049,796
  5. Step 5: Solve for x
    x = 308,818,049,796/255,411
  6. Step 6: Final answer
    x = 1,209,102.39

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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.