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Finding the Third Proportional to 305,681,028 and 645,864,456

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Solution

The third proportional to 305,681,028 and 645,864,456 is: 1,364,628,018.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    305,681,028 : 645,864,456 = 645,864,456 : x
  2. Step 2: Convert to fraction form
    305,681,028/645,864,456 = 645,864,456/x
  3. Step 3: Cross multiply
    305,681,028x = 645,864,456 × 645,864,456
  4. Step 4: Simplify right side
    305,681,028x = 417,140,895,524,175,936
  5. Step 5: Solve for x
    x = 417,140,895,524,175,936/305,681,028
  6. Step 6: Final answer
    x = 1,364,628,018.47

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.