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Finding the Third Proportional to 669,346,440 and 1,457,220,990

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Solution

The third proportional to 669,346,440 and 1,457,220,990 is: 3,172,487,200.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    669,346,440 : 1,457,220,990 = 1,457,220,990 : x
  2. Step 2: Convert to fraction form
    669,346,440/1,457,220,990 = 1,457,220,990/x
  3. Step 3: Cross multiply
    669,346,440x = 1,457,220,990 × 1,457,220,990
  4. Step 4: Simplify right side
    669,346,440x = 2,123,493,013,696,580,096
  5. Step 5: Solve for x
    x = 2,123,493,013,696,580,096/669,346,440
  6. Step 6: Final answer
    x = 3,172,487,200.64

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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.