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Finding the Third Proportional to 318,807 and 488,457

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Solution

The third proportional to 318,807 and 488,457 is: 748,384.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,807 : 488,457 = 488,457 : x
  2. Step 2: Convert to fraction form
    318,807/488,457 = 488,457/x
  3. Step 3: Cross multiply
    318,807x = 488,457 × 488,457
  4. Step 4: Simplify right side
    318,807x = 238,590,240,849
  5. Step 5: Solve for x
    x = 238,590,240,849/318,807
  6. Step 6: Final answer
    x = 748,384.57

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.