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Finding the Third Proportional to 402,490 and 838,052

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Solution

The third proportional to 402,490 and 838,052 is: 1,744,965.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,490 : 838,052 = 838,052 : x
  2. Step 2: Convert to fraction form
    402,490/838,052 = 838,052/x
  3. Step 3: Cross multiply
    402,490x = 838,052 × 838,052
  4. Step 4: Simplify right side
    402,490x = 702,331,154,704
  5. Step 5: Solve for x
    x = 702,331,154,704/402,490
  6. Step 6: Final answer
    x = 1,744,965.48

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.