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Finding the Third Proportional to 393,080 and 623,428

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Solution

The third proportional to 393,080 and 623,428 is: 988,761.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    393,080 : 623,428 = 623,428 : x
  2. Step 2: Convert to fraction form
    393,080/623,428 = 623,428/x
  3. Step 3: Cross multiply
    393,080x = 623,428 × 623,428
  4. Step 4: Simplify right side
    393,080x = 388,662,471,184
  5. Step 5: Solve for x
    x = 388,662,471,184/393,080
  6. Step 6: Final answer
    x = 988,761.76

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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.