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Finding the Third Proportional to 242,445 and 528,945

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Solution

The third proportional to 242,445 and 528,945 is: 1,154,005.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,445 : 528,945 = 528,945 : x
  2. Step 2: Convert to fraction form
    242,445/528,945 = 528,945/x
  3. Step 3: Cross multiply
    242,445x = 528,945 × 528,945
  4. Step 4: Simplify right side
    242,445x = 279,782,813,025
  5. Step 5: Solve for x
    x = 279,782,813,025/242,445
  6. Step 6: Final answer
    x = 1,154,005.29

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.