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Finding the Third Proportional to 402,502 and 838,072

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Solution

The third proportional to 402,502 and 838,072 is: 1,744,996.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,502 : 838,072 = 838,072 : x
  2. Step 2: Convert to fraction form
    402,502/838,072 = 838,072/x
  3. Step 3: Cross multiply
    402,502x = 838,072 × 838,072
  4. Step 4: Simplify right side
    402,502x = 702,364,677,184
  5. Step 5: Solve for x
    x = 702,364,677,184/402,502
  6. Step 6: Final answer
    x = 1,744,996.74

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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.