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Finding the Third Proportional to 318,140.63 and 408,484.27

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Solution

The third proportional to 318,140.63 and 408,484.27 is: 524,483.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,140.63 : 408,484.27 = 408,484.27 : x
  2. Step 2: Convert to fraction form
    318,140.63/408,484.27 = 408,484.27/x
  3. Step 3: Cross multiply
    318,140.63x = 408,484.27 × 408,484.27
  4. Step 4: Simplify right side
    318,140.63x = 166,859,395,263.20
  5. Step 5: Solve for x
    x = 166,859,395,263.20/318,140.63
  6. Step 6: Final answer
    x = 524,483.13

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Why These Related Problems?

These problems maintain the same ratio (1.28) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.