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Finding the Third Proportional to 299,576 and 651,640

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Solution

The third proportional to 299,576 and 651,640 is: 1,417,452.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,576 : 651,640 = 651,640 : x
  2. Step 2: Convert to fraction form
    299,576/651,640 = 651,640/x
  3. Step 3: Cross multiply
    299,576x = 651,640 × 651,640
  4. Step 4: Simplify right side
    299,576x = 424,634,689,600
  5. Step 5: Solve for x
    x = 424,634,689,600/299,576
  6. Step 6: Final answer
    x = 1,417,452.30

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.