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Finding the Third Proportional to 305,220,375 and 661,109,166

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Solution

The third proportional to 305,220,375 and 661,109,166 is: 1,431,966,425.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,220,375 : 661,109,166 = 661,109,166 : x
  2. Step 2: Convert to fraction form
    305,220,375/661,109,166 = 661,109,166/x
  3. Step 3: Cross multiply
    305,220,375x = 661,109,166 × 661,109,166
  4. Step 4: Simplify right side
    305,220,375x = 437,065,329,369,215,552
  5. Step 5: Solve for x
    x = 437,065,329,369,215,552/305,220,375
  6. Step 6: Final answer
    x = 1,431,966,425.47

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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.