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Finding the Third Proportional to 390,798 and 812,700

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Solution

The third proportional to 390,798 and 812,700 is: 1,690,083.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,798 : 812,700 = 812,700 : x
  2. Step 2: Convert to fraction form
    390,798/812,700 = 812,700/x
  3. Step 3: Cross multiply
    390,798x = 812,700 × 812,700
  4. Step 4: Simplify right side
    390,798x = 660,481,290,000
  5. Step 5: Solve for x
    x = 660,481,290,000/390,798
  6. Step 6: Final answer
    x = 1,690,083.60

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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.