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Finding the Third Proportional to 314,114,993.63 and 690,541,434.38

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Solution

The third proportional to 314,114,993.63 and 690,541,434.38 is: 1,518,066,575.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,114,993.63 : 690,541,434.38 = 690,541,434.38 : x
  2. Step 2: Convert to fraction form
    314,114,993.63/690,541,434.38 = 690,541,434.38/x
  3. Step 3: Cross multiply
    314,114,993.63x = 690,541,434.38 × 690,541,434.38
  4. Step 4: Simplify right side
    314,114,993.63x = 476,847,472,588,682,432
  5. Step 5: Solve for x
    x = 476,847,472,588,682,432/314,114,993.63
  6. Step 6: Final answer
    x = 1,518,066,575.19

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.