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Finding the Third Proportional to 117,376,318,590 and 257,811,552,119

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Solution

The third proportional to 117,376,318,590 and 257,811,552,119 is: 566,270,924,190.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,376,318,590 : 257,811,552,119 = 257,811,552,119 : x
  2. Step 2: Convert to fraction form
    117,376,318,590/257,811,552,119 = 257,811,552,119/x
  3. Step 3: Cross multiply
    117,376,318,590x = 257,811,552,119 × 257,811,552,119
  4. Step 4: Simplify right side
    117,376,318,590x = 66,466,796,406,007,855,579,136
  5. Step 5: Solve for x
    x = 66,466,796,406,007,855,579,136/117,376,318,590
  6. Step 6: Final answer
    x = 566,270,924,190.24

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.