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Finding the Third Proportional to 315,140 and 501,126

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Solution

The third proportional to 315,140 and 501,126 is: 796,875.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,140 : 501,126 = 501,126 : x
  2. Step 2: Convert to fraction form
    315,140/501,126 = 501,126/x
  3. Step 3: Cross multiply
    315,140x = 501,126 × 501,126
  4. Step 4: Simplify right side
    315,140x = 251,127,267,876
  5. Step 5: Solve for x
    x = 251,127,267,876/315,140
  6. Step 6: Final answer
    x = 796,875.26

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.