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Finding the Third Proportional to 435,312 and 914,688

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Solution

The third proportional to 435,312 and 914,688 is: 1,921,964.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    435,312 : 914,688 = 914,688 : x
  2. Step 2: Convert to fraction form
    435,312/914,688 = 914,688/x
  3. Step 3: Cross multiply
    435,312x = 914,688 × 914,688
  4. Step 4: Simplify right side
    435,312x = 836,654,137,344
  5. Step 5: Solve for x
    x = 836,654,137,344/435,312
  6. Step 6: Final answer
    x = 1,921,964.33

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.