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Finding the Third Proportional to 390,633 and 856,050

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Solution

The third proportional to 390,633 and 856,050 is: 1,875,984.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,633 : 856,050 = 856,050 : x
  2. Step 2: Convert to fraction form
    390,633/856,050 = 856,050/x
  3. Step 3: Cross multiply
    390,633x = 856,050 × 856,050
  4. Step 4: Simplify right side
    390,633x = 732,821,602,500
  5. Step 5: Solve for x
    x = 732,821,602,500/390,633
  6. Step 6: Final answer
    x = 1,875,984.88

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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.