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Finding the Third Proportional to 318,428 and 488,748

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Solution

The third proportional to 318,428 and 488,748 is: 750,168.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    318,428 : 488,748 = 488,748 : x
  2. Step 2: Convert to fraction form
    318,428/488,748 = 488,748/x
  3. Step 3: Cross multiply
    318,428x = 488,748 × 488,748
  4. Step 4: Simplify right side
    318,428x = 238,874,607,504
  5. Step 5: Solve for x
    x = 238,874,607,504/318,428
  6. Step 6: Final answer
    x = 750,168.35

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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.