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Finding the Third Proportional to 315,564 and 431,127

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Solution

The third proportional to 315,564 and 431,127 is: 589,010.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    315,564 : 431,127 = 431,127 : x
  2. Step 2: Convert to fraction form
    315,564/431,127 = 431,127/x
  3. Step 3: Cross multiply
    315,564x = 431,127 × 431,127
  4. Step 4: Simplify right side
    315,564x = 185,870,490,129
  5. Step 5: Solve for x
    x = 185,870,490,129/315,564
  6. Step 6: Final answer
    x = 589,010.44

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.