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Finding the Third Proportional to 124,256,597 and 194,497,208

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Solution

The third proportional to 124,256,597 and 194,497,208 is: 304,443,907.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,256,597 : 194,497,208 = 194,497,208 : x
  2. Step 2: Convert to fraction form
    124,256,597/194,497,208 = 194,497,208/x
  3. Step 3: Cross multiply
    124,256,597x = 194,497,208 × 194,497,208
  4. Step 4: Simplify right side
    124,256,597x = 37,829,163,919,795,264
  5. Step 5: Solve for x
    x = 37,829,163,919,795,264/124,256,597
  6. Step 6: Final answer
    x = 304,443,907.47

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.