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Finding the Third Proportional to 319,215,541.50 and 449,329,936.50

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Solution

The third proportional to 319,215,541.50 and 449,329,936.50 is: 632,479,831.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    319,215,541.50 : 449,329,936.50 = 449,329,936.50 : x
  2. Step 2: Convert to fraction form
    319,215,541.50/449,329,936.50 = 449,329,936.50/x
  3. Step 3: Cross multiply
    319,215,541.50x = 449,329,936.50 × 449,329,936.50
  4. Step 4: Simplify right side
    319,215,541.50x = 201,897,391,835,094,048
  5. Step 5: Solve for x
    x = 201,897,391,835,094,048/319,215,541.50
  6. Step 6: Final answer
    x = 632,479,831.30

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.