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Finding the Third Proportional to 129,270,547.50 and 276,456,999

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Solution

The third proportional to 129,270,547.50 and 276,456,999 is: 591,228,812.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,270,547.50 : 276,456,999 = 276,456,999 : x
  2. Step 2: Convert to fraction form
    129,270,547.50/276,456,999 = 276,456,999/x
  3. Step 3: Cross multiply
    129,270,547.50x = 276,456,999 × 276,456,999
  4. Step 4: Simplify right side
    129,270,547.50x = 76,428,472,296,086,000
  5. Step 5: Solve for x
    x = 76,428,472,296,086,000/129,270,547.50
  6. Step 6: Final answer
    x = 591,228,812.55

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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.