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Finding the Third Proportional to 121,900,761 and 260,333,784

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Solution

The third proportional to 121,900,761 and 260,333,784 is: 555,974,208.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,900,761 : 260,333,784 = 260,333,784 : x
  2. Step 2: Convert to fraction form
    121,900,761/260,333,784 = 260,333,784/x
  3. Step 3: Cross multiply
    121,900,761x = 260,333,784 × 260,333,784
  4. Step 4: Simplify right side
    121,900,761x = 67,773,679,091,758,656
  5. Step 5: Solve for x
    x = 67,773,679,091,758,656/121,900,761
  6. Step 6: Final answer
    x = 555,974,208.33

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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.