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Finding the Third Proportional to 323,640 and 502,501

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Solution

The third proportional to 323,640 and 502,501 is: 780,210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    323,640 : 502,501 = 502,501 : x
  2. Step 2: Convert to fraction form
    323,640/502,501 = 502,501/x
  3. Step 3: Cross multiply
    323,640x = 502,501 × 502,501
  4. Step 4: Simplify right side
    323,640x = 252,507,255,001
  5. Step 5: Solve for x
    x = 252,507,255,001/323,640
  6. Step 6: Final answer
    x = 780,210.28

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.