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Finding the Third Proportional to 358,368 and 782,400

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Solution

The third proportional to 358,368 and 782,400 is: 1,708,159.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,368 : 782,400 = 782,400 : x
  2. Step 2: Convert to fraction form
    358,368/782,400 = 782,400/x
  3. Step 3: Cross multiply
    358,368x = 782,400 × 782,400
  4. Step 4: Simplify right side
    358,368x = 612,149,760,000
  5. Step 5: Solve for x
    x = 612,149,760,000/358,368
  6. Step 6: Final answer
    x = 1,708,159.66

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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.