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Finding the Third Proportional to 602,257 and 802,915

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Solution

The third proportional to 602,257 and 802,915 is: 1,070,427.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    602,257 : 802,915 = 802,915 : x
  2. Step 2: Convert to fraction form
    602,257/802,915 = 802,915/x
  3. Step 3: Cross multiply
    602,257x = 802,915 × 802,915
  4. Step 4: Simplify right side
    602,257x = 644,672,497,225
  5. Step 5: Solve for x
    x = 644,672,497,225/602,257
  6. Step 6: Final answer
    x = 1,070,427.57

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.