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Finding the Third Proportional to 208,966,774 and 487,971,607

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Solution

The third proportional to 208,966,774 and 487,971,607 is: 1,139,493,540.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    208,966,774 : 487,971,607 = 487,971,607 : x
  2. Step 2: Convert to fraction form
    208,966,774/487,971,607 = 487,971,607/x
  3. Step 3: Cross multiply
    208,966,774x = 487,971,607 × 487,971,607
  4. Step 4: Simplify right side
    208,966,774x = 238,116,289,238,162,464
  5. Step 5: Solve for x
    x = 238,116,289,238,162,464/208,966,774
  6. Step 6: Final answer
    x = 1,139,493,540.91

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.