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Finding the Third Proportional to 70,718 and 148,707

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Solution

The third proportional to 70,718 and 148,707 is: 312,703.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,718 : 148,707 = 148,707 : x
  2. Step 2: Convert to fraction form
    70,718/148,707 = 148,707/x
  3. Step 3: Cross multiply
    70,718x = 148,707 × 148,707
  4. Step 4: Simplify right side
    70,718x = 22,113,771,849
  5. Step 5: Solve for x
    x = 22,113,771,849/70,718
  6. Step 6: Final answer
    x = 312,703.58

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.