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Finding the Third Proportional to 56,598,984,120 and 121,148,780,484

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Solution

The third proportional to 56,598,984,120 and 121,148,780,484 is: 259,316,085,632.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,598,984,120 : 121,148,780,484 = 121,148,780,484 : x
  2. Step 2: Convert to fraction form
    56,598,984,120/121,148,780,484 = 121,148,780,484/x
  3. Step 3: Cross multiply
    56,598,984,120x = 121,148,780,484 × 121,148,780,484
  4. Step 4: Simplify right side
    56,598,984,120x = 14,677,027,012,760,418,910,208
  5. Step 5: Solve for x
    x = 14,677,027,012,760,418,910,208/56,598,984,120
  6. Step 6: Final answer
    x = 259,316,085,632.25

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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.