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Finding the Third Proportional to 497,310 and 771,420

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Solution

The third proportional to 497,310 and 771,420 is: 1,196,615.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    497,310 : 771,420 = 771,420 : x
  2. Step 2: Convert to fraction form
    497,310/771,420 = 771,420/x
  3. Step 3: Cross multiply
    497,310x = 771,420 × 771,420
  4. Step 4: Simplify right side
    497,310x = 595,088,816,400
  5. Step 5: Solve for x
    x = 595,088,816,400/497,310
  6. Step 6: Final answer
    x = 1,196,615.42

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.