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Finding the Third Proportional to 139,130 and 186,387

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Solution

The third proportional to 139,130 and 186,387 is: 249,695.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,130 : 186,387 = 186,387 : x
  2. Step 2: Convert to fraction form
    139,130/186,387 = 186,387/x
  3. Step 3: Cross multiply
    139,130x = 186,387 × 186,387
  4. Step 4: Simplify right side
    139,130x = 34,740,113,769
  5. Step 5: Solve for x
    x = 34,740,113,769/139,130
  6. Step 6: Final answer
    x = 249,695.35

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.