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Finding the Third Proportional to 154,487,874 and 216,514,360

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Solution

The third proportional to 154,487,874 and 216,514,360 is: 303,444,321.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,487,874 : 216,514,360 = 216,514,360 : x
  2. Step 2: Convert to fraction form
    154,487,874/216,514,360 = 216,514,360/x
  3. Step 3: Cross multiply
    154,487,874x = 216,514,360 × 216,514,360
  4. Step 4: Simplify right side
    154,487,874x = 46,878,468,086,209,600
  5. Step 5: Solve for x
    x = 46,878,468,086,209,600/154,487,874
  6. Step 6: Final answer
    x = 303,444,321.37

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.