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Finding the Third Proportional to 21,600,900 and 30,384,342

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Solution

The third proportional to 21,600,900 and 30,384,342 is: 42,739,341.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,600,900 : 30,384,342 = 30,384,342 : x
  2. Step 2: Convert to fraction form
    21,600,900/30,384,342 = 30,384,342/x
  3. Step 3: Cross multiply
    21,600,900x = 30,384,342 × 30,384,342
  4. Step 4: Simplify right side
    21,600,900x = 923,208,238,772,964
  5. Step 5: Solve for x
    x = 923,208,238,772,964/21,600,900
  6. Step 6: Final answer
    x = 42,739,341.36

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.