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Finding the Third Proportional to 128,345,329.50 and 280,209,649.50

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Solution

The third proportional to 128,345,329.50 and 280,209,649.50 is: 611,767,081.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    128,345,329.50 : 280,209,649.50 = 280,209,649.50 : x
  2. Step 2: Convert to fraction form
    128,345,329.50/280,209,649.50 = 280,209,649.50/x
  3. Step 3: Cross multiply
    128,345,329.50x = 280,209,649.50 × 280,209,649.50
  4. Step 4: Simplify right side
    128,345,329.50x = 78,517,447,672,912,848
  5. Step 5: Solve for x
    x = 78,517,447,672,912,848/128,345,329.50
  6. Step 6: Final answer
    x = 611,767,081.66

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.