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Finding the Third Proportional to 390,556.50 and 812,209.50

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Solution

The third proportional to 390,556.50 and 812,209.50 is: 1,689,087.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,556.50 : 812,209.50 = 812,209.50 : x
  2. Step 2: Convert to fraction form
    390,556.50/812,209.50 = 812,209.50/x
  3. Step 3: Cross multiply
    390,556.50x = 812,209.50 × 812,209.50
  4. Step 4: Simplify right side
    390,556.50x = 659,684,271,890.25
  5. Step 5: Solve for x
    x = 659,684,271,890.25/390,556.50
  6. Step 6: Final answer
    x = 1,689,087.93

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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.