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Finding the Third Proportional to 390,612.75 and 856,006.50

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Solution

The third proportional to 390,612.75 and 856,006.50 is: 1,875,891.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,612.75 : 856,006.50 = 856,006.50 : x
  2. Step 2: Convert to fraction form
    390,612.75/856,006.50 = 856,006.50/x
  3. Step 3: Cross multiply
    390,612.75x = 856,006.50 × 856,006.50
  4. Step 4: Simplify right side
    390,612.75x = 732,747,128,042.25
  5. Step 5: Solve for x
    x = 732,747,128,042.25/390,612.75
  6. Step 6: Final answer
    x = 1,875,891.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.