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Finding the Third Proportional to 255,748 and 556,460

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Solution

The third proportional to 255,748 and 556,460 is: 1,210,753.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    255,748 : 556,460 = 556,460 : x
  2. Step 2: Convert to fraction form
    255,748/556,460 = 556,460/x
  3. Step 3: Cross multiply
    255,748x = 556,460 × 556,460
  4. Step 4: Simplify right side
    255,748x = 309,647,731,600
  5. Step 5: Solve for x
    x = 309,647,731,600/255,748
  6. Step 6: Final answer
    x = 1,210,753.29

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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.