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Finding the Third Proportional to 602,638.10 and 818,459.12

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Solution

The third proportional to 602,638.10 and 818,459.12 is: 1,111,571.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,638.10 : 818,459.12 = 818,459.12 : x
  2. Step 2: Convert to fraction form
    602,638.10/818,459.12 = 818,459.12/x
  3. Step 3: Cross multiply
    602,638.10x = 818,459.12 × 818,459.12
  4. Step 4: Simplify right side
    602,638.10x = 669,875,332,901.44
  5. Step 5: Solve for x
    x = 669,875,332,901.44/602,638.10
  6. Step 6: Final answer
    x = 1,111,571.49

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.