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Finding the Third Proportional to 121,646,731.50 and 251,916,257.25

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Solution

The third proportional to 121,646,731.50 and 251,916,257.25 is: 521,689,320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,646,731.50 : 251,916,257.25 = 251,916,257.25 : x
  2. Step 2: Convert to fraction form
    121,646,731.50/251,916,257.25 = 251,916,257.25/x
  3. Step 3: Cross multiply
    121,646,731.50x = 251,916,257.25 × 251,916,257.25
  4. Step 4: Simplify right side
    121,646,731.50x = 63,461,800,666,848,176
  5. Step 5: Solve for x
    x = 63,461,800,666,848,176/121,646,731.50
  6. Step 6: Final answer
    x = 521,689,320.25

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.