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Finding the Third Proportional to 256,365 and 556,470

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Solution

The third proportional to 256,365 and 556,470 is: 1,207,882.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    256,365 : 556,470 = 556,470 : x
  2. Step 2: Convert to fraction form
    256,365/556,470 = 556,470/x
  3. Step 3: Cross multiply
    256,365x = 556,470 × 556,470
  4. Step 4: Simplify right side
    256,365x = 309,658,860,900
  5. Step 5: Solve for x
    x = 309,658,860,900/256,365
  6. Step 6: Final answer
    x = 1,207,882.75

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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.