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Finding the Third Proportional to 75,044,734,312 and 114,325,461,759

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Solution

The third proportional to 75,044,734,312 and 114,325,461,759 is: 174,166,932,913.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,044,734,312 : 114,325,461,759 = 114,325,461,759 : x
  2. Step 2: Convert to fraction form
    75,044,734,312/114,325,461,759 = 114,325,461,759/x
  3. Step 3: Cross multiply
    75,044,734,312x = 114,325,461,759 × 114,325,461,759
  4. Step 4: Simplify right side
    75,044,734,312x = 13,070,311,206,408,572,370,944
  5. Step 5: Solve for x
    x = 13,070,311,206,408,572,370,944/75,044,734,312
  6. Step 6: Final answer
    x = 174,166,932,913.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.