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Finding the Third Proportional to 974,685 and 2,137,689

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Solution

The third proportional to 974,685 and 2,137,689 is: 4,688,401.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    974,685 : 2,137,689 = 2,137,689 : x
  2. Step 2: Convert to fraction form
    974,685/2,137,689 = 2,137,689/x
  3. Step 3: Cross multiply
    974,685x = 2,137,689 × 2,137,689
  4. Step 4: Simplify right side
    974,685x = 4,569,714,260,721
  5. Step 5: Solve for x
    x = 4,569,714,260,721/974,685
  6. Step 6: Final answer
    x = 4,688,401.14

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.