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Finding the Third Proportional to 103,985 and 157,445

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Solution

The third proportional to 103,985 and 157,445 is: 238,389.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,985 : 157,445 = 157,445 : x
  2. Step 2: Convert to fraction form
    103,985/157,445 = 157,445/x
  3. Step 3: Cross multiply
    103,985x = 157,445 × 157,445
  4. Step 4: Simplify right side
    103,985x = 24,788,928,025
  5. Step 5: Solve for x
    x = 24,788,928,025/103,985
  6. Step 6: Final answer
    x = 238,389.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.