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Finding the Third Proportional to 385,452 and 613,818

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Solution

The third proportional to 385,452 and 613,818 is: 977,482.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,452 : 613,818 = 613,818 : x
  2. Step 2: Convert to fraction form
    385,452/613,818 = 613,818/x
  3. Step 3: Cross multiply
    385,452x = 613,818 × 613,818
  4. Step 4: Simplify right side
    385,452x = 376,772,537,124
  5. Step 5: Solve for x
    x = 376,772,537,124/385,452
  6. Step 6: Final answer
    x = 977,482.38

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.