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Finding the Third Proportional to 248,807 and 385,887

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Solution

The third proportional to 248,807 and 385,887 is: 598,491.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    248,807 : 385,887 = 385,887 : x
  2. Step 2: Convert to fraction form
    248,807/385,887 = 385,887/x
  3. Step 3: Cross multiply
    248,807x = 385,887 × 385,887
  4. Step 4: Simplify right side
    248,807x = 148,908,776,769
  5. Step 5: Solve for x
    x = 148,908,776,769/248,807
  6. Step 6: Final answer
    x = 598,491.11

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.