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Finding the Third Proportional to 56,598,984,108 and 121,148,780,472

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Solution

The third proportional to 56,598,984,108 and 121,148,780,472 is: 259,316,085,635.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,598,984,108 : 121,148,780,472 = 121,148,780,472 : x
  2. Step 2: Convert to fraction form
    56,598,984,108/121,148,780,472 = 121,148,780,472/x
  3. Step 3: Cross multiply
    56,598,984,108x = 121,148,780,472 × 121,148,780,472
  4. Step 4: Simplify right side
    56,598,984,108x = 14,677,027,009,852,847,685,632
  5. Step 5: Solve for x
    x = 14,677,027,009,852,847,685,632/56,598,984,108
  6. Step 6: Final answer
    x = 259,316,085,635.86

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.