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Finding the Third Proportional to 398,848 and 860,312

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Solution

The third proportional to 398,848 and 860,312 is: 1,855,686.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,848 : 860,312 = 860,312 : x
  2. Step 2: Convert to fraction form
    398,848/860,312 = 860,312/x
  3. Step 3: Cross multiply
    398,848x = 860,312 × 860,312
  4. Step 4: Simplify right side
    398,848x = 740,136,737,344
  5. Step 5: Solve for x
    x = 740,136,737,344/398,848
  6. Step 6: Final answer
    x = 1,855,686.22

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.