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Finding the Third Proportional to 512,500,610 and 794,228,979

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Solution

The third proportional to 512,500,610 and 794,228,979 is: 1,230,827,161.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    512,500,610 : 794,228,979 = 794,228,979 : x
  2. Step 2: Convert to fraction form
    512,500,610/794,228,979 = 794,228,979/x
  3. Step 3: Cross multiply
    512,500,610x = 794,228,979 × 794,228,979
  4. Step 4: Simplify right side
    512,500,610x = 630,799,671,083,382,400
  5. Step 5: Solve for x
    x = 630,799,671,083,382,400/512,500,610
  6. Step 6: Final answer
    x = 1,230,827,161.52

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.