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Finding the Third Proportional to 84,278,086,056 and 121,767,280,412

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Solution

The third proportional to 84,278,086,056 and 121,767,280,412 is: 175,932,692,266.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,278,086,056 : 121,767,280,412 = 121,767,280,412 : x
  2. Step 2: Convert to fraction form
    84,278,086,056/121,767,280,412 = 121,767,280,412/x
  3. Step 3: Cross multiply
    84,278,086,056x = 121,767,280,412 × 121,767,280,412
  4. Step 4: Simplify right side
    84,278,086,056x = 14,827,270,578,934,638,444,544
  5. Step 5: Solve for x
    x = 14,827,270,578,934,638,444,544/84,278,086,056
  6. Step 6: Final answer
    x = 175,932,692,266.91

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.