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Finding the Third Proportional to 387,340 and 915,828

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Solution

The third proportional to 387,340 and 915,828 is: 2,165,386.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    387,340 : 915,828 = 915,828 : x
  2. Step 2: Convert to fraction form
    387,340/915,828 = 915,828/x
  3. Step 3: Cross multiply
    387,340x = 915,828 × 915,828
  4. Step 4: Simplify right side
    387,340x = 838,740,925,584
  5. Step 5: Solve for x
    x = 838,740,925,584/387,340
  6. Step 6: Final answer
    x = 2,165,386.81

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.