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Finding the Third Proportional to 196,929,155 and 428,535,382

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Solution

The third proportional to 196,929,155 and 428,535,382 is: 932,531,161.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    196,929,155 : 428,535,382 = 428,535,382 : x
  2. Step 2: Convert to fraction form
    196,929,155/428,535,382 = 428,535,382/x
  3. Step 3: Cross multiply
    196,929,155x = 428,535,382 × 428,535,382
  4. Step 4: Simplify right side
    196,929,155x = 183,642,573,625,885,920
  5. Step 5: Solve for x
    x = 183,642,573,625,885,920/196,929,155
  6. Step 6: Final answer
    x = 932,531,161.40

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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.