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Finding the Third Proportional to 154,487,870 and 216,514,354

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Solution

The third proportional to 154,487,870 and 216,514,354 is: 303,444,312.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,487,870 : 216,514,354 = 216,514,354 : x
  2. Step 2: Convert to fraction form
    154,487,870/216,514,354 = 216,514,354/x
  3. Step 3: Cross multiply
    154,487,870x = 216,514,354 × 216,514,354
  4. Step 4: Simplify right side
    154,487,870x = 46,878,465,488,037,312
  5. Step 5: Solve for x
    x = 46,878,465,488,037,312/154,487,870
  6. Step 6: Final answer
    x = 303,444,312.41

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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.