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Finding the Third Proportional to 786,681 and 1,697,778

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Solution

The third proportional to 786,681 and 1,697,778 is: 3,664,064.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    786,681 : 1,697,778 = 1,697,778 : x
  2. Step 2: Convert to fraction form
    786,681/1,697,778 = 1,697,778/x
  3. Step 3: Cross multiply
    786,681x = 1,697,778 × 1,697,778
  4. Step 4: Simplify right side
    786,681x = 2,882,450,137,284
  5. Step 5: Solve for x
    x = 2,882,450,137,284/786,681
  6. Step 6: Final answer
    x = 3,664,064.77

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.