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Finding the Third Proportional to 909,380 and 1,358,454

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Solution

The third proportional to 909,380 and 1,358,454 is: 2,029,291.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,380 : 1,358,454 = 1,358,454 : x
  2. Step 2: Convert to fraction form
    909,380/1,358,454 = 1,358,454/x
  3. Step 3: Cross multiply
    909,380x = 1,358,454 × 1,358,454
  4. Step 4: Simplify right side
    909,380x = 1,845,397,270,116
  5. Step 5: Solve for x
    x = 1,845,397,270,116/909,380
  6. Step 6: Final answer
    x = 2,029,291.68

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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.