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Finding the Third Proportional to 402,145,110,350 and 599,730,310,100

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Solution

The third proportional to 402,145,110,350 and 599,730,310,100 is: 894,394,673,951.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    402,145,110,350 : 599,730,310,100 = 599,730,310,100 : x
  2. Step 2: Convert to fraction form
    402,145,110,350/599,730,310,100 = 599,730,310,100/x
  3. Step 3: Cross multiply
    402,145,110,350x = 599,730,310,100 × 599,730,310,100
  4. Step 4: Simplify right side
    402,145,110,350x = 359,676,444,852,642,163,720,192
  5. Step 5: Solve for x
    x = 359,676,444,852,642,163,720,192/402,145,110,350
  6. Step 6: Final answer
    x = 894,394,673,951.41

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.