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Finding the Third Proportional to 593,244,128 and 868,629,024

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Solution

The third proportional to 593,244,128 and 868,629,024 is: 1,271,848,039.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    593,244,128 : 868,629,024 = 868,629,024 : x
  2. Step 2: Convert to fraction form
    593,244,128/868,629,024 = 868,629,024/x
  3. Step 3: Cross multiply
    593,244,128x = 868,629,024 × 868,629,024
  4. Step 4: Simplify right side
    593,244,128x = 754,516,381,335,192,576
  5. Step 5: Solve for x
    x = 754,516,381,335,192,576/593,244,128
  6. Step 6: Final answer
    x = 1,271,848,039.83

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.