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Finding the Third Proportional to 215,748 and 334,982

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Solution

The third proportional to 215,748 and 334,982 is: 520,111.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    215,748 : 334,982 = 334,982 : x
  2. Step 2: Convert to fraction form
    215,748/334,982 = 334,982/x
  3. Step 3: Cross multiply
    215,748x = 334,982 × 334,982
  4. Step 4: Simplify right side
    215,748x = 112,212,940,324
  5. Step 5: Solve for x
    x = 112,212,940,324/215,748
  6. Step 6: Final answer
    x = 520,111.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.