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Finding the Third Proportional to 316,548 and 668,412

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Solution

The third proportional to 316,548 and 668,412 is: 1,411,396.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    316,548 : 668,412 = 668,412 : x
  2. Step 2: Convert to fraction form
    316,548/668,412 = 668,412/x
  3. Step 3: Cross multiply
    316,548x = 668,412 × 668,412
  4. Step 4: Simplify right side
    316,548x = 446,774,601,744
  5. Step 5: Solve for x
    x = 446,774,601,744/316,548
  6. Step 6: Final answer
    x = 1,411,396.07

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.