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Finding the Third Proportional to 154,572 and 245,682

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Solution

The third proportional to 154,572 and 245,682 is: 390,495.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    154,572 : 245,682 = 245,682 : x
  2. Step 2: Convert to fraction form
    154,572/245,682 = 245,682/x
  3. Step 3: Cross multiply
    154,572x = 245,682 × 245,682
  4. Step 4: Simplify right side
    154,572x = 60,359,645,124
  5. Step 5: Solve for x
    x = 60,359,645,124/154,572
  6. Step 6: Final answer
    x = 390,495.34

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.