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Finding the Third Proportional to 450,308 and 690,438

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Solution

The third proportional to 450,308 and 690,438 is: 1,058,619.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,308 : 690,438 = 690,438 : x
  2. Step 2: Convert to fraction form
    450,308/690,438 = 690,438/x
  3. Step 3: Cross multiply
    450,308x = 690,438 × 690,438
  4. Step 4: Simplify right side
    450,308x = 476,704,631,844
  5. Step 5: Solve for x
    x = 476,704,631,844/450,308
  6. Step 6: Final answer
    x = 1,058,619.06

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.