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Finding the Third Proportional to 288,528 and 630,156

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Solution

The third proportional to 288,528 and 630,156 is: 1,376,284.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,528 : 630,156 = 630,156 : x
  2. Step 2: Convert to fraction form
    288,528/630,156 = 630,156/x
  3. Step 3: Cross multiply
    288,528x = 630,156 × 630,156
  4. Step 4: Simplify right side
    288,528x = 397,096,584,336
  5. Step 5: Solve for x
    x = 397,096,584,336/288,528
  6. Step 6: Final answer
    x = 1,376,284.40

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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.