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Finding the Third Proportional to 117,262,746 and 257,650,830

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Solution

The third proportional to 117,262,746 and 257,650,830 is: 566,112,874.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,262,746 : 257,650,830 = 257,650,830 : x
  2. Step 2: Convert to fraction form
    117,262,746/257,650,830 = 257,650,830/x
  3. Step 3: Cross multiply
    117,262,746x = 257,650,830 × 257,650,830
  4. Step 4: Simplify right side
    117,262,746x = 66,383,950,199,688,896
  5. Step 5: Solve for x
    x = 66,383,950,199,688,896/117,262,746
  6. Step 6: Final answer
    x = 566,112,874.41

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.