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Finding the Third Proportional to 121,070 and 186,709

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Solution

The third proportional to 121,070 and 186,709 is: 287,934.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,070 : 186,709 = 186,709 : x
  2. Step 2: Convert to fraction form
    121,070/186,709 = 186,709/x
  3. Step 3: Cross multiply
    121,070x = 186,709 × 186,709
  4. Step 4: Simplify right side
    121,070x = 34,860,250,681
  5. Step 5: Solve for x
    x = 34,860,250,681/121,070
  6. Step 6: Final answer
    x = 287,934.67

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.