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Finding the Third Proportional to 385,669 and 830,605

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Solution

The third proportional to 385,669 and 830,605 is: 1,788,851.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,669 : 830,605 = 830,605 : x
  2. Step 2: Convert to fraction form
    385,669/830,605 = 830,605/x
  3. Step 3: Cross multiply
    385,669x = 830,605 × 830,605
  4. Step 4: Simplify right side
    385,669x = 689,904,666,025
  5. Step 5: Solve for x
    x = 689,904,666,025/385,669
  6. Step 6: Final answer
    x = 1,788,851.75

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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.