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Finding the Third Proportional to 121,900,763 and 260,333,788

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Solution

The third proportional to 121,900,763 and 260,333,788 is: 555,974,216.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,900,763 : 260,333,788 = 260,333,788 : x
  2. Step 2: Convert to fraction form
    121,900,763/260,333,788 = 260,333,788/x
  3. Step 3: Cross multiply
    121,900,763x = 260,333,788 × 260,333,788
  4. Step 4: Simplify right side
    121,900,763x = 67,773,681,174,428,944
  5. Step 5: Solve for x
    x = 67,773,681,174,428,944/121,900,763
  6. Step 6: Final answer
    x = 555,974,216.29

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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.