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Finding the Third Proportional to 358,290 and 782,076

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Solution

The third proportional to 358,290 and 782,076 is: 1,707,116.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,290 : 782,076 = 782,076 : x
  2. Step 2: Convert to fraction form
    358,290/782,076 = 782,076/x
  3. Step 3: Cross multiply
    358,290x = 782,076 × 782,076
  4. Step 4: Simplify right side
    358,290x = 611,642,869,776
  5. Step 5: Solve for x
    x = 611,642,869,776/358,290
  6. Step 6: Final answer
    x = 1,707,116.78

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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.