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Finding the Third Proportional to 640,428 and 1,004,589

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Solution

The third proportional to 640,428 and 1,004,589 is: 1,575,819.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    640,428 : 1,004,589 = 1,004,589 : x
  2. Step 2: Convert to fraction form
    640,428/1,004,589 = 1,004,589/x
  3. Step 3: Cross multiply
    640,428x = 1,004,589 × 1,004,589
  4. Step 4: Simplify right side
    640,428x = 1,009,199,058,921
  5. Step 5: Solve for x
    x = 1,009,199,058,921/640,428
  6. Step 6: Final answer
    x = 1,575,819.70

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.