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Finding the Third Proportional to 70,506,646 and 154,633,544

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Solution

The third proportional to 70,506,646 and 154,633,544 is: 339,138,709.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,506,646 : 154,633,544 = 154,633,544 : x
  2. Step 2: Convert to fraction form
    70,506,646/154,633,544 = 154,633,544/x
  3. Step 3: Cross multiply
    70,506,646x = 154,633,544 × 154,633,544
  4. Step 4: Simplify right side
    70,506,646x = 23,911,532,929,999,936
  5. Step 5: Solve for x
    x = 23,911,532,929,999,936/70,506,646
  6. Step 6: Final answer
    x = 339,138,709.42

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.