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Finding the Third Proportional to 240,346 and 556,386

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Solution

The third proportional to 240,346 and 556,386 is: 1,287,998.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    240,346 : 556,386 = 556,386 : x
  2. Step 2: Convert to fraction form
    240,346/556,386 = 556,386/x
  3. Step 3: Cross multiply
    240,346x = 556,386 × 556,386
  4. Step 4: Simplify right side
    240,346x = 309,565,380,996
  5. Step 5: Solve for x
    x = 309,565,380,996/240,346
  6. Step 6: Final answer
    x = 1,287,998.89

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Why These Related Problems?

These problems maintain the same ratio (2.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.