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Finding the Third Proportional to 262,757,440.50 and 369,550,759.50

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Solution

The third proportional to 262,757,440.50 and 369,550,759.50 is: 519,748,417.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,757,440.50 : 369,550,759.50 = 369,550,759.50 : x
  2. Step 2: Convert to fraction form
    262,757,440.50/369,550,759.50 = 369,550,759.50/x
  3. Step 3: Cross multiply
    262,757,440.50x = 369,550,759.50 × 369,550,759.50
  4. Step 4: Simplify right side
    262,757,440.50x = 136,567,763,847,026,848
  5. Step 5: Solve for x
    x = 136,567,763,847,026,848/262,757,440.50
  6. Step 6: Final answer
    x = 519,748,417.35

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.