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Finding the Third Proportional to 358,288 and 782,072

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Solution

The third proportional to 358,288 and 782,072 is: 1,707,108.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,288 : 782,072 = 782,072 : x
  2. Step 2: Convert to fraction form
    358,288/782,072 = 782,072/x
  3. Step 3: Cross multiply
    358,288x = 782,072 × 782,072
  4. Step 4: Simplify right side
    358,288x = 611,636,613,184
  5. Step 5: Solve for x
    x = 611,636,613,184/358,288
  6. Step 6: Final answer
    x = 1,707,108.84

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.