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Finding the Third Proportional to 308,421 and 460,072

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Solution

The third proportional to 308,421 and 460,072 is: 686,289.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    308,421 : 460,072 = 460,072 : x
  2. Step 2: Convert to fraction form
    308,421/460,072 = 460,072/x
  3. Step 3: Cross multiply
    308,421x = 460,072 × 460,072
  4. Step 4: Simplify right side
    308,421x = 211,666,245,184
  5. Step 5: Solve for x
    x = 211,666,245,184/308,421
  6. Step 6: Final answer
    x = 686,289.99

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.