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Finding the Third Proportional to 289,645 and 630,779

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Solution

The third proportional to 289,645 and 630,779 is: 1,373,688.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    289,645 : 630,779 = 630,779 : x
  2. Step 2: Convert to fraction form
    289,645/630,779 = 630,779/x
  3. Step 3: Cross multiply
    289,645x = 630,779 × 630,779
  4. Step 4: Simplify right side
    289,645x = 397,882,146,841
  5. Step 5: Solve for x
    x = 397,882,146,841/289,645
  6. Step 6: Final answer
    x = 1,373,688.99

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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.