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Finding the Third Proportional to 318,116 and 692,230

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Solution

The third proportional to 318,116 and 692,230 is: 1,506,313.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,116 : 692,230 = 692,230 : x
  2. Step 2: Convert to fraction form
    318,116/692,230 = 692,230/x
  3. Step 3: Cross multiply
    318,116x = 692,230 × 692,230
  4. Step 4: Simplify right side
    318,116x = 479,182,372,900
  5. Step 5: Solve for x
    x = 479,182,372,900/318,116
  6. Step 6: Final answer
    x = 1,506,313.34

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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.