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Finding the Third Proportional to 154,487,872 and 216,514,357

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Solution

The third proportional to 154,487,872 and 216,514,357 is: 303,444,316.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,487,872 : 216,514,357 = 216,514,357 : x
  2. Step 2: Convert to fraction form
    154,487,872/216,514,357 = 216,514,357/x
  3. Step 3: Cross multiply
    154,487,872x = 216,514,357 × 216,514,357
  4. Step 4: Simplify right side
    154,487,872x = 46,878,466,787,123,448
  5. Step 5: Solve for x
    x = 46,878,466,787,123,448/154,487,872
  6. Step 6: Final answer
    x = 303,444,316.89

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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.