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Finding the Third Proportional to 612,420 and 1,298,964

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Solution

The third proportional to 612,420 and 1,298,964 is: 2,755,147.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    612,420 : 1,298,964 = 1,298,964 : x
  2. Step 2: Convert to fraction form
    612,420/1,298,964 = 1,298,964/x
  3. Step 3: Cross multiply
    612,420x = 1,298,964 × 1,298,964
  4. Step 4: Simplify right side
    612,420x = 1,687,307,473,296
  5. Step 5: Solve for x
    x = 1,687,307,473,296/612,420
  6. Step 6: Final answer
    x = 2,755,147.57

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.