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Finding the Third Proportional to 190,464 and 283,440

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Solution

The third proportional to 190,464 and 283,440 is: 421,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,464 : 283,440 = 283,440 : x
  2. Step 2: Convert to fraction form
    190,464/283,440 = 283,440/x
  3. Step 3: Cross multiply
    190,464x = 283,440 × 283,440
  4. Step 4: Simplify right side
    190,464x = 80,338,233,600
  5. Step 5: Solve for x
    x = 80,338,233,600/190,464
  6. Step 6: Final answer
    x = 421,802.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.