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Finding the Third Proportional to 399,064 and 586,926

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Solution

The third proportional to 399,064 and 586,926 is: 863,225.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    399,064 : 586,926 = 586,926 : x
  2. Step 2: Convert to fraction form
    399,064/586,926 = 586,926/x
  3. Step 3: Cross multiply
    399,064x = 586,926 × 586,926
  4. Step 4: Simplify right side
    399,064x = 344,482,129,476
  5. Step 5: Solve for x
    x = 344,482,129,476/399,064
  6. Step 6: Final answer
    x = 863,225.27

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.