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Finding the Third Proportional to 263,222,980 and 420,339,750

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Solution

The third proportional to 263,222,980 and 420,339,750 is: 671,238,907.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    263,222,980 : 420,339,750 = 420,339,750 : x
  2. Step 2: Convert to fraction form
    263,222,980/420,339,750 = 420,339,750/x
  3. Step 3: Cross multiply
    263,222,980x = 420,339,750 × 420,339,750
  4. Step 4: Simplify right side
    263,222,980x = 176,685,505,430,062,496
  5. Step 5: Solve for x
    x = 176,685,505,430,062,496/263,222,980
  6. Step 6: Final answer
    x = 671,238,907.14

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.