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Finding the Third Proportional to 418,186 and 556,431

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Solution

The third proportional to 418,186 and 556,431 is: 740,377.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    418,186 : 556,431 = 556,431 : x
  2. Step 2: Convert to fraction form
    418,186/556,431 = 556,431/x
  3. Step 3: Cross multiply
    418,186x = 556,431 × 556,431
  4. Step 4: Simplify right side
    418,186x = 309,615,457,761
  5. Step 5: Solve for x
    x = 309,615,457,761/418,186
  6. Step 6: Final answer
    x = 740,377.39

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.