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Finding the Third Proportional to 296,138 and 455,535

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Solution

The third proportional to 296,138 and 455,535 is: 700,727.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    296,138 : 455,535 = 455,535 : x
  2. Step 2: Convert to fraction form
    296,138/455,535 = 455,535/x
  3. Step 3: Cross multiply
    296,138x = 455,535 × 455,535
  4. Step 4: Simplify right side
    296,138x = 207,512,136,225
  5. Step 5: Solve for x
    x = 207,512,136,225/296,138
  6. Step 6: Final answer
    x = 700,727.82

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.