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Finding the Third Proportional to 778,526 and 1,689,973

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Solution

The third proportional to 778,526 and 1,689,973 is: 3,668,482.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    778,526 : 1,689,973 = 1,689,973 : x
  2. Step 2: Convert to fraction form
    778,526/1,689,973 = 1,689,973/x
  3. Step 3: Cross multiply
    778,526x = 1,689,973 × 1,689,973
  4. Step 4: Simplify right side
    778,526x = 2,856,008,740,729
  5. Step 5: Solve for x
    x = 2,856,008,740,729/778,526
  6. Step 6: Final answer
    x = 3,668,482.16

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.