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Finding the Third Proportional to 1,689,483.45 and 3,685,970.18

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Solution

The third proportional to 1,689,483.45 and 3,685,970.18 is: 8,041,733.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,689,483.45 : 3,685,970.18 = 3,685,970.18 : x
  2. Step 2: Convert to fraction form
    1,689,483.45/3,685,970.18 = 3,685,970.18/x
  3. Step 3: Cross multiply
    1,689,483.45x = 3,685,970.18 × 3,685,970.18
  4. Step 4: Simplify right side
    1,689,483.45x = 13,586,376,165,545.50
  5. Step 5: Solve for x
    x = 13,586,376,165,545.50/1,689,483.45
  6. Step 6: Final answer
    x = 8,041,733.82

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.