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Finding the Third Proportional to 430,572 and 640,938

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Solution

The third proportional to 430,572 and 640,938 is: 954,083.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,572 : 640,938 = 640,938 : x
  2. Step 2: Convert to fraction form
    430,572/640,938 = 640,938/x
  3. Step 3: Cross multiply
    430,572x = 640,938 × 640,938
  4. Step 4: Simplify right side
    430,572x = 410,801,519,844
  5. Step 5: Solve for x
    x = 410,801,519,844/430,572
  6. Step 6: Final answer
    x = 954,083.22

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.