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Finding the Third Proportional to 436,321 and 640,113

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Solution

The third proportional to 436,321 and 640,113 is: 939,089.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    436,321 : 640,113 = 640,113 : x
  2. Step 2: Convert to fraction form
    436,321/640,113 = 640,113/x
  3. Step 3: Cross multiply
    436,321x = 640,113 × 640,113
  4. Step 4: Simplify right side
    436,321x = 409,744,652,769
  5. Step 5: Solve for x
    x = 409,744,652,769/436,321
  6. Step 6: Final answer
    x = 939,089.92

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.