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Finding the Third Proportional to 299,516 and 651,510

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Solution

The third proportional to 299,516 and 651,510 is: 1,417,170.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,516 : 651,510 = 651,510 : x
  2. Step 2: Convert to fraction form
    299,516/651,510 = 651,510/x
  3. Step 3: Cross multiply
    299,516x = 651,510 × 651,510
  4. Step 4: Simplify right side
    299,516x = 424,465,280,100
  5. Step 5: Solve for x
    x = 424,465,280,100/299,516
  6. Step 6: Final answer
    x = 1,417,170.64

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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.