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Finding the Third Proportional to 248,966,462 and 400,021,257

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Solution

The third proportional to 248,966,462 and 400,021,257 is: 642,725,147.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,966,462 : 400,021,257 = 400,021,257 : x
  2. Step 2: Convert to fraction form
    248,966,462/400,021,257 = 400,021,257/x
  3. Step 3: Cross multiply
    248,966,462x = 400,021,257 × 400,021,257
  4. Step 4: Simplify right side
    248,966,462x = 160,017,006,051,860,064
  5. Step 5: Solve for x
    x = 160,017,006,051,860,064/248,966,462
  6. Step 6: Final answer
    x = 642,725,147.66

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.