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Finding the Third Proportional to 196,929,154 and 428,535,380

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Solution

The third proportional to 196,929,154 and 428,535,380 is: 932,531,157.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,929,154 : 428,535,380 = 428,535,380 : x
  2. Step 2: Convert to fraction form
    196,929,154/428,535,380 = 428,535,380/x
  3. Step 3: Cross multiply
    196,929,154x = 428,535,380 × 428,535,380
  4. Step 4: Simplify right side
    196,929,154x = 183,642,571,911,744,384
  5. Step 5: Solve for x
    x = 183,642,571,911,744,384/196,929,154
  6. Step 6: Final answer
    x = 932,531,157.43

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.