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Finding the Third Proportional to 232,410 and 492,724

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Solution

The third proportional to 232,410 and 492,724 is: 1,044,606.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    232,410 : 492,724 = 492,724 : x
  2. Step 2: Convert to fraction form
    232,410/492,724 = 492,724/x
  3. Step 3: Cross multiply
    232,410x = 492,724 × 492,724
  4. Step 4: Simplify right side
    232,410x = 242,776,940,176
  5. Step 5: Solve for x
    x = 242,776,940,176/232,410
  6. Step 6: Final answer
    x = 1,044,606.26

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.