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Finding the Third Proportional to 288,322 and 630,953

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Solution

The third proportional to 288,322 and 630,953 is: 1,380,753.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,322 : 630,953 = 630,953 : x
  2. Step 2: Convert to fraction form
    288,322/630,953 = 630,953/x
  3. Step 3: Cross multiply
    288,322x = 630,953 × 630,953
  4. Step 4: Simplify right side
    288,322x = 398,101,688,209
  5. Step 5: Solve for x
    x = 398,101,688,209/288,322
  6. Step 6: Final answer
    x = 1,380,753.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.