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Finding the Third Proportional to 397,688,105 and 864,214,429

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Solution

The third proportional to 397,688,105 and 864,214,429 is: 1,878,020,916.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    397,688,105 : 864,214,429 = 864,214,429 : x
  2. Step 2: Convert to fraction form
    397,688,105/864,214,429 = 864,214,429/x
  3. Step 3: Cross multiply
    397,688,105x = 864,214,429 × 864,214,429
  4. Step 4: Simplify right side
    397,688,105x = 746,866,579,291,796,096
  5. Step 5: Solve for x
    x = 746,866,579,291,796,096/397,688,105
  6. Step 6: Final answer
    x = 1,878,020,916.14

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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.