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Finding the Third Proportional to 909,078 and 1,407,585

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Solution

The third proportional to 909,078 and 1,407,585 is: 2,179,456.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,078 : 1,407,585 = 1,407,585 : x
  2. Step 2: Convert to fraction form
    909,078/1,407,585 = 1,407,585/x
  3. Step 3: Cross multiply
    909,078x = 1,407,585 × 1,407,585
  4. Step 4: Simplify right side
    909,078x = 1,981,295,532,225
  5. Step 5: Solve for x
    x = 1,981,295,532,225/909,078
  6. Step 6: Final answer
    x = 2,179,456.03

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.