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Finding the Third Proportional to 123,419,095.88 and 257,053,257

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Solution

The third proportional to 123,419,095.88 and 257,053,257 is: 535,382,117.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,419,095.88 : 257,053,257 = 257,053,257 : x
  2. Step 2: Convert to fraction form
    123,419,095.88/257,053,257 = 257,053,257/x
  3. Step 3: Cross multiply
    123,419,095.88x = 257,053,257 × 257,053,257
  4. Step 4: Simplify right side
    123,419,095.88x = 66,076,376,934,308,048
  5. Step 5: Solve for x
    x = 66,076,376,934,308,048/123,419,095.88
  6. Step 6: Final answer
    x = 535,382,117.86

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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.