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Finding the Third Proportional to 318,128 and 692,236

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Solution

The third proportional to 318,128 and 692,236 is: 1,506,282.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,128 : 692,236 = 692,236 : x
  2. Step 2: Convert to fraction form
    318,128/692,236 = 692,236/x
  3. Step 3: Cross multiply
    318,128x = 692,236 × 692,236
  4. Step 4: Simplify right side
    318,128x = 479,190,679,696
  5. Step 5: Solve for x
    x = 479,190,679,696/318,128
  6. Step 6: Final answer
    x = 1,506,282.63

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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.