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Finding the Third Proportional to 30,521,952 and 66,345,174

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Solution

The third proportional to 30,521,952 and 66,345,174 is: 144,213,650.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,521,952 : 66,345,174 = 66,345,174 : x
  2. Step 2: Convert to fraction form
    30,521,952/66,345,174 = 66,345,174/x
  3. Step 3: Cross multiply
    30,521,952x = 66,345,174 × 66,345,174
  4. Step 4: Simplify right side
    30,521,952x = 4,401,682,113,090,276
  5. Step 5: Solve for x
    x = 4,401,682,113,090,276/30,521,952
  6. Step 6: Final answer
    x = 144,213,650.33

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.