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Finding the Third Proportional to 434,292 and 915,240

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Solution

The third proportional to 434,292 and 915,240 is: 1,928,804.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    434,292 : 915,240 = 915,240 : x
  2. Step 2: Convert to fraction form
    434,292/915,240 = 915,240/x
  3. Step 3: Cross multiply
    434,292x = 915,240 × 915,240
  4. Step 4: Simplify right side
    434,292x = 837,664,257,600
  5. Step 5: Solve for x
    x = 837,664,257,600/434,292
  6. Step 6: Final answer
    x = 1,928,804.26

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.