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Finding the Third Proportional to 429,232 and 641,580

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Solution

The third proportional to 429,232 and 641,580 is: 958,979.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    429,232 : 641,580 = 641,580 : x
  2. Step 2: Convert to fraction form
    429,232/641,580 = 641,580/x
  3. Step 3: Cross multiply
    429,232x = 641,580 × 641,580
  4. Step 4: Simplify right side
    429,232x = 411,624,896,400
  5. Step 5: Solve for x
    x = 411,624,896,400/429,232
  6. Step 6: Final answer
    x = 958,979.98

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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.