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Finding the Third Proportional to 212,346 and 457,902

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Solution

The third proportional to 212,346 and 457,902 is: 987,417.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,346 : 457,902 = 457,902 : x
  2. Step 2: Convert to fraction form
    212,346/457,902 = 457,902/x
  3. Step 3: Cross multiply
    212,346x = 457,902 × 457,902
  4. Step 4: Simplify right side
    212,346x = 209,674,241,604
  5. Step 5: Solve for x
    x = 209,674,241,604/212,346
  6. Step 6: Final answer
    x = 987,417.90

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.