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Finding the Third Proportional to 212,386 and 456,254

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Solution

The third proportional to 212,386 and 456,254 is: 980,138.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    212,386 : 456,254 = 456,254 : x
  2. Step 2: Convert to fraction form
    212,386/456,254 = 456,254/x
  3. Step 3: Cross multiply
    212,386x = 456,254 × 456,254
  4. Step 4: Simplify right side
    212,386x = 208,167,712,516
  5. Step 5: Solve for x
    x = 208,167,712,516/212,386
  6. Step 6: Final answer
    x = 980,138.58

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.