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Finding the Third Proportional to 633,642 and 972,636

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Solution

The third proportional to 633,642 and 972,636 is: 1,492,989.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    633,642 : 972,636 = 972,636 : x
  2. Step 2: Convert to fraction form
    633,642/972,636 = 972,636/x
  3. Step 3: Cross multiply
    633,642x = 972,636 × 972,636
  4. Step 4: Simplify right side
    633,642x = 946,020,788,496
  5. Step 5: Solve for x
    x = 946,020,788,496/633,642
  6. Step 6: Final answer
    x = 1,492,989.40

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.