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Finding the Third Proportional to 190,890 and 280,746

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Solution

The third proportional to 190,890 and 280,746 is: 412,899.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    190,890 : 280,746 = 280,746 : x
  2. Step 2: Convert to fraction form
    190,890/280,746 = 280,746/x
  3. Step 3: Cross multiply
    190,890x = 280,746 × 280,746
  4. Step 4: Simplify right side
    190,890x = 78,818,316,516
  5. Step 5: Solve for x
    x = 78,818,316,516/190,890
  6. Step 6: Final answer
    x = 412,899.14

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.