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Finding the Third Proportional to 306,484 and 460,148

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Solution

The third proportional to 306,484 and 460,148 is: 690,855.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,484 : 460,148 = 460,148 : x
  2. Step 2: Convert to fraction form
    306,484/460,148 = 460,148/x
  3. Step 3: Cross multiply
    306,484x = 460,148 × 460,148
  4. Step 4: Simplify right side
    306,484x = 211,736,181,904
  5. Step 5: Solve for x
    x = 211,736,181,904/306,484
  6. Step 6: Final answer
    x = 690,855.58

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.