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Finding the Third Proportional to 909,390 and 1,358,469

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Solution

The third proportional to 909,390 and 1,358,469 is: 2,029,314.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    909,390 : 1,358,469 = 1,358,469 : x
  2. Step 2: Convert to fraction form
    909,390/1,358,469 = 1,358,469/x
  3. Step 3: Cross multiply
    909,390x = 1,358,469 × 1,358,469
  4. Step 4: Simplify right side
    909,390x = 1,845,438,023,961
  5. Step 5: Solve for x
    x = 1,845,438,023,961/909,390
  6. Step 6: Final answer
    x = 2,029,314.18

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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.