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Finding the Third Proportional to 299,570 and 651,628

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Solution

The third proportional to 299,570 and 651,628 is: 1,417,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,570 : 651,628 = 651,628 : x
  2. Step 2: Convert to fraction form
    299,570/651,628 = 651,628/x
  3. Step 3: Cross multiply
    299,570x = 651,628 × 651,628
  4. Step 4: Simplify right side
    299,570x = 424,619,050,384
  5. Step 5: Solve for x
    x = 424,619,050,384/299,570
  6. Step 6: Final answer
    x = 1,417,428.48

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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.