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Finding the Third Proportional to 318,114 and 692,226

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Solution

The third proportional to 318,114 and 692,226 is: 1,506,305.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,114 : 692,226 = 692,226 : x
  2. Step 2: Convert to fraction form
    318,114/692,226 = 692,226/x
  3. Step 3: Cross multiply
    318,114x = 692,226 × 692,226
  4. Step 4: Simplify right side
    318,114x = 479,176,835,076
  5. Step 5: Solve for x
    x = 479,176,835,076/318,114
  6. Step 6: Final answer
    x = 1,506,305.40

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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.