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Finding the Third Proportional to 354,208,765 and 555,598,689

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Solution

The third proportional to 354,208,765 and 555,598,689 is: 871,491,430.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    354,208,765 : 555,598,689 = 555,598,689 : x
  2. Step 2: Convert to fraction form
    354,208,765/555,598,689 = 555,598,689/x
  3. Step 3: Cross multiply
    354,208,765x = 555,598,689 × 555,598,689
  4. Step 4: Simplify right side
    354,208,765x = 308,689,903,218,518,720
  5. Step 5: Solve for x
    x = 308,689,903,218,518,720/354,208,765
  6. Step 6: Final answer
    x = 871,491,430.25

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.