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Finding the Third Proportional to 430,600 and 640,972

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Solution

The third proportional to 430,600 and 640,972 is: 954,122.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,600 : 640,972 = 640,972 : x
  2. Step 2: Convert to fraction form
    430,600/640,972 = 640,972/x
  3. Step 3: Cross multiply
    430,600x = 640,972 × 640,972
  4. Step 4: Simplify right side
    430,600x = 410,845,104,784
  5. Step 5: Solve for x
    x = 410,845,104,784/430,600
  6. Step 6: Final answer
    x = 954,122.40

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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.