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Finding the Third Proportional to 309,284 and 651,760

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Solution

The third proportional to 309,284 and 651,760 is: 1,373,466.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,284 : 651,760 = 651,760 : x
  2. Step 2: Convert to fraction form
    309,284/651,760 = 651,760/x
  3. Step 3: Cross multiply
    309,284x = 651,760 × 651,760
  4. Step 4: Simplify right side
    309,284x = 424,791,097,600
  5. Step 5: Solve for x
    x = 424,791,097,600/309,284
  6. Step 6: Final answer
    x = 1,373,466.13

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.