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Finding the Third Proportional to 423,028 and 915,752

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Solution

The third proportional to 423,028 and 915,752 is: 1,982,378.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,028 : 915,752 = 915,752 : x
  2. Step 2: Convert to fraction form
    423,028/915,752 = 915,752/x
  3. Step 3: Cross multiply
    423,028x = 915,752 × 915,752
  4. Step 4: Simplify right side
    423,028x = 838,601,725,504
  5. Step 5: Solve for x
    x = 838,601,725,504/423,028
  6. Step 6: Final answer
    x = 1,982,378.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.