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Finding the Third Proportional to 402,480 and 838,032

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Solution

The third proportional to 402,480 and 838,032 is: 1,744,925.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,480 : 838,032 = 838,032 : x
  2. Step 2: Convert to fraction form
    402,480/838,032 = 838,032/x
  3. Step 3: Cross multiply
    402,480x = 838,032 × 838,032
  4. Step 4: Simplify right side
    402,480x = 702,297,633,024
  5. Step 5: Solve for x
    x = 702,297,633,024/402,480
  6. Step 6: Final answer
    x = 1,744,925.54

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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.