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Finding the Third Proportional to 318,106.93 and 692,189.30

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Solution

The third proportional to 318,106.93 and 692,189.30 is: 1,506,179.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,106.93 : 692,189.30 = 692,189.30 : x
  2. Step 2: Convert to fraction form
    318,106.93/692,189.30 = 692,189.30/x
  3. Step 3: Cross multiply
    318,106.93x = 692,189.30 × 692,189.30
  4. Step 4: Simplify right side
    318,106.93x = 479,126,022,708.31
  5. Step 5: Solve for x
    x = 479,126,022,708.31/318,106.93
  6. Step 6: Final answer
    x = 1,506,179.12

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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.