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Finding the Third Proportional to 243,121.50 and 528,798.38

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Solution

The third proportional to 243,121.50 and 528,798.38 is: 1,150,156.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,121.50 : 528,798.38 = 528,798.38 : x
  2. Step 2: Convert to fraction form
    243,121.50/528,798.38 = 528,798.38/x
  3. Step 3: Cross multiply
    243,121.50x = 528,798.38 × 528,798.38
  4. Step 4: Simplify right side
    243,121.50x = 279,627,721,402.64
  5. Step 5: Solve for x
    x = 279,627,721,402.64/243,121.50
  6. Step 6: Final answer
    x = 1,150,156.29

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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.