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Finding the Third Proportional to 309,169,838 and 666,763,564

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Solution

The third proportional to 309,169,838 and 666,763,564 is: 1,437,959,320.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,169,838 : 666,763,564 = 666,763,564 : x
  2. Step 2: Convert to fraction form
    309,169,838/666,763,564 = 666,763,564/x
  3. Step 3: Cross multiply
    309,169,838x = 666,763,564 × 666,763,564
  4. Step 4: Simplify right side
    309,169,838x = 444,573,650,277,982,080
  5. Step 5: Solve for x
    x = 444,573,650,277,982,080/309,169,838
  6. Step 6: Final answer
    x = 1,437,959,320.85

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.