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Finding the Third Proportional to 358,080 and 788,124

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Solution

The third proportional to 358,080 and 788,124 is: 1,734,638.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,080 : 788,124 = 788,124 : x
  2. Step 2: Convert to fraction form
    358,080/788,124 = 788,124/x
  3. Step 3: Cross multiply
    358,080x = 788,124 × 788,124
  4. Step 4: Simplify right side
    358,080x = 621,139,439,376
  5. Step 5: Solve for x
    x = 621,139,439,376/358,080
  6. Step 6: Final answer
    x = 1,734,638.74

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.