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Finding the Third Proportional to 678,298,509 and 1,469,282,355

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Solution

The third proportional to 678,298,509 and 1,469,282,355 is: 3,182,655,733.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    678,298,509 : 1,469,282,355 = 1,469,282,355 : x
  2. Step 2: Convert to fraction form
    678,298,509/1,469,282,355 = 1,469,282,355/x
  3. Step 3: Cross multiply
    678,298,509x = 1,469,282,355 × 1,469,282,355
  4. Step 4: Simplify right side
    678,298,509x = 2,158,790,638,714,345,984
  5. Step 5: Solve for x
    x = 2,158,790,638,714,345,984/678,298,509
  6. Step 6: Final answer
    x = 3,182,655,733.53

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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.