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Finding the Third Proportional to 310,901,512.78 and 664,849,738.97

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Solution

The third proportional to 310,901,512.78 and 664,849,738.97 is: 1,421,753,054.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,901,512.78 : 664,849,738.97 = 664,849,738.97 : x
  2. Step 2: Convert to fraction form
    310,901,512.78/664,849,738.97 = 664,849,738.97/x
  3. Step 3: Cross multiply
    310,901,512.78x = 664,849,738.97 × 664,849,738.97
  4. Step 4: Simplify right side
    310,901,512.78x = 442,025,175,406,815,040
  5. Step 5: Solve for x
    x = 442,025,175,406,815,040/310,901,512.78
  6. Step 6: Final answer
    x = 1,421,753,054.38

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.