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Finding the Third Proportional to 123,508,803 and 264,015,078

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Solution

The third proportional to 123,508,803 and 264,015,078 is: 564,364,318.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,508,803 : 264,015,078 = 264,015,078 : x
  2. Step 2: Convert to fraction form
    123,508,803/264,015,078 = 264,015,078/x
  3. Step 3: Cross multiply
    123,508,803x = 264,015,078 × 264,015,078
  4. Step 4: Simplify right side
    123,508,803x = 69,703,961,411,346,080
  5. Step 5: Solve for x
    x = 69,703,961,411,346,080/123,508,803
  6. Step 6: Final answer
    x = 564,364,318.32

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.