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Finding the Third Proportional to 402,445 and 852,853

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Solution

The third proportional to 402,445 and 852,853 is: 1,807,348.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,445 : 852,853 = 852,853 : x
  2. Step 2: Convert to fraction form
    402,445/852,853 = 852,853/x
  3. Step 3: Cross multiply
    402,445x = 852,853 × 852,853
  4. Step 4: Simplify right side
    402,445x = 727,358,239,609
  5. Step 5: Solve for x
    x = 727,358,239,609/402,445
  6. Step 6: Final answer
    x = 1,807,348.18

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.