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Finding the Third Proportional to 451,367,460 and 623,687,289

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Solution

The third proportional to 451,367,460 and 623,687,289 is: 861,794,145.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,367,460 : 623,687,289 = 623,687,289 : x
  2. Step 2: Convert to fraction form
    451,367,460/623,687,289 = 623,687,289/x
  3. Step 3: Cross multiply
    451,367,460x = 623,687,289 × 623,687,289
  4. Step 4: Simplify right side
    451,367,460x = 388,985,834,460,169,536
  5. Step 5: Solve for x
    x = 388,985,834,460,169,536/451,367,460
  6. Step 6: Final answer
    x = 861,794,145.42

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.