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Finding the Third Proportional to 243,622,333 and 399,932,911.50

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Solution

The third proportional to 243,622,333 and 399,932,911.50 is: 656,533,954.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,622,333 : 399,932,911.50 = 399,932,911.50 : x
  2. Step 2: Convert to fraction form
    243,622,333/399,932,911.50 = 399,932,911.50/x
  3. Step 3: Cross multiply
    243,622,333x = 399,932,911.50 × 399,932,911.50
  4. Step 4: Simplify right side
    243,622,333x = 159,946,333,700,866,848
  5. Step 5: Solve for x
    x = 159,946,333,700,866,848/243,622,333
  6. Step 6: Final answer
    x = 656,533,954.55

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Why These Related Problems?

These problems maintain the same ratio (1.64) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.