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Finding the Third Proportional to 319,576,569.75 and 687,691,417.50

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Solution

The third proportional to 319,576,569.75 and 687,691,417.50 is: 1,479,831,534.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,576,569.75 : 687,691,417.50 = 687,691,417.50 : x
  2. Step 2: Convert to fraction form
    319,576,569.75/687,691,417.50 = 687,691,417.50/x
  3. Step 3: Cross multiply
    319,576,569.75x = 687,691,417.50 × 687,691,417.50
  4. Step 4: Simplify right side
    319,576,569.75x = 472,919,485,703,159,296
  5. Step 5: Solve for x
    x = 472,919,485,703,159,296/319,576,569.75
  6. Step 6: Final answer
    x = 1,479,831,534.81

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.