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Finding the Third Proportional to 290,798 and 426,597

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Solution

The third proportional to 290,798 and 426,597 is: 625,812.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    290,798 : 426,597 = 426,597 : x
  2. Step 2: Convert to fraction form
    290,798/426,597 = 426,597/x
  3. Step 3: Cross multiply
    290,798x = 426,597 × 426,597
  4. Step 4: Simplify right side
    290,798x = 181,985,000,409
  5. Step 5: Solve for x
    x = 181,985,000,409/290,798
  6. Step 6: Final answer
    x = 625,812.42

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.