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Finding the Third Proportional to 640,253,393 and 1,427,721,786

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Solution

The third proportional to 640,253,393 and 1,427,721,786 is: 3,183,723,070.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,253,393 : 1,427,721,786 = 1,427,721,786 : x
  2. Step 2: Convert to fraction form
    640,253,393/1,427,721,786 = 1,427,721,786/x
  3. Step 3: Cross multiply
    640,253,393x = 1,427,721,786 × 1,427,721,786
  4. Step 4: Simplify right side
    640,253,393x = 2,038,389,498,219,029,760
  5. Step 5: Solve for x
    x = 2,038,389,498,219,029,760/640,253,393
  6. Step 6: Final answer
    x = 3,183,723,070.44

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.