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Finding the Third Proportional to 52,946,236 and 114,684,260

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Solution

The third proportional to 52,946,236 and 114,684,260 is: 248,411,983.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,946,236 : 114,684,260 = 114,684,260 : x
  2. Step 2: Convert to fraction form
    52,946,236/114,684,260 = 114,684,260/x
  3. Step 3: Cross multiply
    52,946,236x = 114,684,260 × 114,684,260
  4. Step 4: Simplify right side
    52,946,236x = 13,152,479,491,747,600
  5. Step 5: Solve for x
    x = 13,152,479,491,747,600/52,946,236
  6. Step 6: Final answer
    x = 248,411,983.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.