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Finding the Third Proportional to 300,060 and 651,639

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Solution

The third proportional to 300,060 and 651,639 is: 1,415,161.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    300,060 : 651,639 = 651,639 : x
  2. Step 2: Convert to fraction form
    300,060/651,639 = 651,639/x
  3. Step 3: Cross multiply
    300,060x = 651,639 × 651,639
  4. Step 4: Simplify right side
    300,060x = 424,633,386,321
  5. Step 5: Solve for x
    x = 424,633,386,321/300,060
  6. Step 6: Final answer
    x = 1,415,161.59

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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.