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Finding the Third Proportional to 392,935 and 859,428

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Solution

The third proportional to 392,935 and 859,428 is: 1,879,742.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    392,935 : 859,428 = 859,428 : x
  2. Step 2: Convert to fraction form
    392,935/859,428 = 859,428/x
  3. Step 3: Cross multiply
    392,935x = 859,428 × 859,428
  4. Step 4: Simplify right side
    392,935x = 738,616,487,184
  5. Step 5: Solve for x
    x = 738,616,487,184/392,935
  6. Step 6: Final answer
    x = 1,879,742.16

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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.