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Finding the Third Proportional to 402,411 and 852,792

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Solution

The third proportional to 402,411 and 852,792 is: 1,807,242.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,411 : 852,792 = 852,792 : x
  2. Step 2: Convert to fraction form
    402,411/852,792 = 852,792/x
  3. Step 3: Cross multiply
    402,411x = 852,792 × 852,792
  4. Step 4: Simplify right side
    402,411x = 727,254,195,264
  5. Step 5: Solve for x
    x = 727,254,195,264/402,411
  6. Step 6: Final answer
    x = 1,807,242.33

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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.