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Finding the Third Proportional to 310,083 and 420,827

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Solution

The third proportional to 310,083 and 420,827 is: 571,122.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,083 : 420,827 = 420,827 : x
  2. Step 2: Convert to fraction form
    310,083/420,827 = 420,827/x
  3. Step 3: Cross multiply
    310,083x = 420,827 × 420,827
  4. Step 4: Simplify right side
    310,083x = 177,095,363,929
  5. Step 5: Solve for x
    x = 177,095,363,929/310,083
  6. Step 6: Final answer
    x = 571,122.45

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.