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Finding the Third Proportional to 438,440 and 956,312

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Solution

The third proportional to 438,440 and 956,312 is: 2,085,878.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    438,440 : 956,312 = 956,312 : x
  2. Step 2: Convert to fraction form
    438,440/956,312 = 956,312/x
  3. Step 3: Cross multiply
    438,440x = 956,312 × 956,312
  4. Step 4: Simplify right side
    438,440x = 914,532,641,344
  5. Step 5: Solve for x
    x = 914,532,641,344/438,440
  6. Step 6: Final answer
    x = 2,085,878.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.