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Finding the Third Proportional to 314,477.02 and 690,732.98

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Solution

The third proportional to 314,477.02 and 690,732.98 is: 1,517,160.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    314,477.02 : 690,732.98 = 690,732.98 : x
  2. Step 2: Convert to fraction form
    314,477.02/690,732.98 = 690,732.98/x
  3. Step 3: Cross multiply
    314,477.02x = 690,732.98 × 690,732.98
  4. Step 4: Simplify right side
    314,477.02x = 477,112,055,703.59
  5. Step 5: Solve for x
    x = 477,112,055,703.59/314,477.02
  6. Step 6: Final answer
    x = 1,517,160.34

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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.