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Finding the Third Proportional to 310,863 and 385,677

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Solution

The third proportional to 310,863 and 385,677 is: 478,496.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    310,863 : 385,677 = 385,677 : x
  2. Step 2: Convert to fraction form
    310,863/385,677 = 385,677/x
  3. Step 3: Cross multiply
    310,863x = 385,677 × 385,677
  4. Step 4: Simplify right side
    310,863x = 148,746,748,329
  5. Step 5: Solve for x
    x = 148,746,748,329/310,863
  6. Step 6: Final answer
    x = 478,496.15

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Why These Related Problems?

These problems maintain the same ratio (1.24) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.