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Finding the Third Proportional to 129,661,290,549 and 280,963,514,718

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Solution

The third proportional to 129,661,290,549 and 280,963,514,718 is: 608,820,845,978.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,661,290,549 : 280,963,514,718 = 280,963,514,718 : x
  2. Step 2: Convert to fraction form
    129,661,290,549/280,963,514,718 = 280,963,514,718/x
  3. Step 3: Cross multiply
    129,661,290,549x = 280,963,514,718 × 280,963,514,718
  4. Step 4: Simplify right side
    129,661,290,549x = 78,940,496,602,691,796,992,000
  5. Step 5: Solve for x
    x = 78,940,496,602,691,796,992,000/129,661,290,549
  6. Step 6: Final answer
    x = 608,820,845,978.39

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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.