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Finding the Third Proportional to 398,808,220.78 and 640,773,811.55

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Solution

The third proportional to 398,808,220.78 and 640,773,811.55 is: 1,029,545,170.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    398,808,220.78 : 640,773,811.55 = 640,773,811.55 : x
  2. Step 2: Convert to fraction form
    398,808,220.78/640,773,811.55 = 640,773,811.55/x
  3. Step 3: Cross multiply
    398,808,220.78x = 640,773,811.55 × 640,773,811.55
  4. Step 4: Simplify right side
    398,808,220.78x = 410,591,077,564,316,480
  5. Step 5: Solve for x
    x = 410,591,077,564,316,480/398,808,220.78
  6. Step 6: Final answer
    x = 1,029,545,170.26

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.