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Finding the Third Proportional to 318,300 and 692,580

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Solution

The third proportional to 318,300 and 692,580 is: 1,506,965.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,300 : 692,580 = 692,580 : x
  2. Step 2: Convert to fraction form
    318,300/692,580 = 692,580/x
  3. Step 3: Cross multiply
    318,300x = 692,580 × 692,580
  4. Step 4: Simplify right side
    318,300x = 479,667,056,400
  5. Step 5: Solve for x
    x = 479,667,056,400/318,300
  6. Step 6: Final answer
    x = 1,506,965.30

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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.