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Finding the Third Proportional to 236,490 and 507,972

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Solution

The third proportional to 236,490 and 507,972 is: 1,091,105.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    236,490 : 507,972 = 507,972 : x
  2. Step 2: Convert to fraction form
    236,490/507,972 = 507,972/x
  3. Step 3: Cross multiply
    236,490x = 507,972 × 507,972
  4. Step 4: Simplify right side
    236,490x = 258,035,552,784
  5. Step 5: Solve for x
    x = 258,035,552,784/236,490
  6. Step 6: Final answer
    x = 1,091,105.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.