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Finding the Third Proportional to 879,952 and 1,689,920

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Solution

The third proportional to 879,952 and 1,689,920 is: 3,245,437.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    879,952 : 1,689,920 = 1,689,920 : x
  2. Step 2: Convert to fraction form
    879,952/1,689,920 = 1,689,920/x
  3. Step 3: Cross multiply
    879,952x = 1,689,920 × 1,689,920
  4. Step 4: Simplify right side
    879,952x = 2,855,829,606,400
  5. Step 5: Solve for x
    x = 2,855,829,606,400/879,952
  6. Step 6: Final answer
    x = 3,245,437.94

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Why These Related Problems?

These problems maintain the same ratio (1.92) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.