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Finding the Third Proportional to 318,023,289 and 687,108,546

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Solution

The third proportional to 318,023,289 and 687,108,546 is: 1,484,539,561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,023,289 : 687,108,546 = 687,108,546 : x
  2. Step 2: Convert to fraction form
    318,023,289/687,108,546 = 687,108,546/x
  3. Step 3: Cross multiply
    318,023,289x = 687,108,546 × 687,108,546
  4. Step 4: Simplify right side
    318,023,289x = 472,118,153,986,234,112
  5. Step 5: Solve for x
    x = 472,118,153,986,234,112/318,023,289
  6. Step 6: Final answer
    x = 1,484,539,561.46

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.