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Finding the Third Proportional to 300,072 and 651,664

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Solution

The third proportional to 300,072 and 651,664 is: 1,415,213.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,072 : 651,664 = 651,664 : x
  2. Step 2: Convert to fraction form
    300,072/651,664 = 651,664/x
  3. Step 3: Cross multiply
    300,072x = 651,664 × 651,664
  4. Step 4: Simplify right side
    300,072x = 424,665,968,896
  5. Step 5: Solve for x
    x = 424,665,968,896/300,072
  6. Step 6: Final answer
    x = 1,415,213.58

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.