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Finding the Third Proportional to 402,479 and 838,030

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Solution

The third proportional to 402,479 and 838,030 is: 1,744,921.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,479 : 838,030 = 838,030 : x
  2. Step 2: Convert to fraction form
    402,479/838,030 = 838,030/x
  3. Step 3: Cross multiply
    402,479x = 838,030 × 838,030
  4. Step 4: Simplify right side
    402,479x = 702,294,280,900
  5. Step 5: Solve for x
    x = 702,294,280,900/402,479
  6. Step 6: Final answer
    x = 1,744,921.55

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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.