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Finding the Third Proportional to 385,681 and 790,154

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Solution

The third proportional to 385,681 and 790,154 is: 1,618,807.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,681 : 790,154 = 790,154 : x
  2. Step 2: Convert to fraction form
    385,681/790,154 = 790,154/x
  3. Step 3: Cross multiply
    385,681x = 790,154 × 790,154
  4. Step 4: Simplify right side
    385,681x = 624,343,343,716
  5. Step 5: Solve for x
    x = 624,343,343,716/385,681
  6. Step 6: Final answer
    x = 1,618,807.63

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.