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Finding the Third Proportional to 306,304 and 661,808

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Solution

The third proportional to 306,304 and 661,808 is: 1,429,918.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,304 : 661,808 = 661,808 : x
  2. Step 2: Convert to fraction form
    306,304/661,808 = 661,808/x
  3. Step 3: Cross multiply
    306,304x = 661,808 × 661,808
  4. Step 4: Simplify right side
    306,304x = 437,989,828,864
  5. Step 5: Solve for x
    x = 437,989,828,864/306,304
  6. Step 6: Final answer
    x = 1,429,918.74

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.