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Finding the Third Proportional to 402,426 and 852,826

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Solution

The third proportional to 402,426 and 852,826 is: 1,807,319.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,426 : 852,826 = 852,826 : x
  2. Step 2: Convert to fraction form
    402,426/852,826 = 852,826/x
  3. Step 3: Cross multiply
    402,426x = 852,826 × 852,826
  4. Step 4: Simplify right side
    402,426x = 727,312,186,276
  5. Step 5: Solve for x
    x = 727,312,186,276/402,426
  6. Step 6: Final answer
    x = 1,807,319.08

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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.