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Finding the Third Proportional to 385,690 and 830,582

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Solution

The third proportional to 385,690 and 830,582 is: 1,788,655.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,690 : 830,582 = 830,582 : x
  2. Step 2: Convert to fraction form
    385,690/830,582 = 830,582/x
  3. Step 3: Cross multiply
    385,690x = 830,582 × 830,582
  4. Step 4: Simplify right side
    385,690x = 689,866,458,724
  5. Step 5: Solve for x
    x = 689,866,458,724/385,690
  6. Step 6: Final answer
    x = 1,788,655.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.