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Finding the Third Proportional to 311,713,123.50 and 677,681,586

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Solution

The third proportional to 311,713,123.50 and 677,681,586 is: 1,473,317,282.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    311,713,123.50 : 677,681,586 = 677,681,586 : x
  2. Step 2: Convert to fraction form
    311,713,123.50/677,681,586 = 677,681,586/x
  3. Step 3: Cross multiply
    311,713,123.50x = 677,681,586 × 677,681,586
  4. Step 4: Simplify right side
    311,713,123.50x = 459,252,332,003,475,392
  5. Step 5: Solve for x
    x = 459,252,332,003,475,392/311,713,123.50
  6. Step 6: Final answer
    x = 1,473,317,282.40

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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.