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Finding the Third Proportional to 455,424 and 655,968

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Solution

The third proportional to 455,424 and 655,968 is: 944,820.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    455,424 : 655,968 = 655,968 : x
  2. Step 2: Convert to fraction form
    455,424/655,968 = 655,968/x
  3. Step 3: Cross multiply
    455,424x = 655,968 × 655,968
  4. Step 4: Simplify right side
    455,424x = 430,294,017,024
  5. Step 5: Solve for x
    x = 430,294,017,024/455,424
  6. Step 6: Final answer
    x = 944,820.69

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.