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Finding the Third Proportional to 390,512.25 and 812,128.50

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Solution

The third proportional to 390,512.25 and 812,128.50 is: 1,688,942.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,512.25 : 812,128.50 = 812,128.50 : x
  2. Step 2: Convert to fraction form
    390,512.25/812,128.50 = 812,128.50/x
  3. Step 3: Cross multiply
    390,512.25x = 812,128.50 × 812,128.50
  4. Step 4: Simplify right side
    390,512.25x = 659,552,700,512.25
  5. Step 5: Solve for x
    x = 659,552,700,512.25/390,512.25
  6. Step 6: Final answer
    x = 1,688,942.41

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.