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Finding the Third Proportional to 421,597 and 920,240

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Solution

The third proportional to 421,597 and 920,240 is: 2,008,652.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,597 : 920,240 = 920,240 : x
  2. Step 2: Convert to fraction form
    421,597/920,240 = 920,240/x
  3. Step 3: Cross multiply
    421,597x = 920,240 × 920,240
  4. Step 4: Simplify right side
    421,597x = 846,841,657,600
  5. Step 5: Solve for x
    x = 846,841,657,600/421,597
  6. Step 6: Final answer
    x = 2,008,652.00

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.