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Finding the Third Proportional to 316,398,978 and 693,122,220

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Solution

The third proportional to 316,398,978 and 693,122,220 is: 1,518,394,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,398,978 : 693,122,220 = 693,122,220 : x
  2. Step 2: Convert to fraction form
    316,398,978/693,122,220 = 693,122,220/x
  3. Step 3: Cross multiply
    316,398,978x = 693,122,220 × 693,122,220
  4. Step 4: Simplify right side
    316,398,978x = 480,418,411,857,728,384
  5. Step 5: Solve for x
    x = 480,418,411,857,728,384/316,398,978
  6. Step 6: Final answer
    x = 1,518,394,322.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.