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Finding the Third Proportional to 123,678,078 and 257,529,402

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Solution

The third proportional to 123,678,078 and 257,529,402 is: 536,242,105.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,678,078 : 257,529,402 = 257,529,402 : x
  2. Step 2: Convert to fraction form
    123,678,078/257,529,402 = 257,529,402/x
  3. Step 3: Cross multiply
    123,678,078x = 257,529,402 × 257,529,402
  4. Step 4: Simplify right side
    123,678,078x = 66,321,392,894,477,600
  5. Step 5: Solve for x
    x = 66,321,392,894,477,600/123,678,078
  6. Step 6: Final answer
    x = 536,242,105.04

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.