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Finding the Third Proportional to 72,065,623.50 and 149,241,649.50

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Solution

The third proportional to 72,065,623.50 and 149,241,649.50 is: 309,066,498.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,065,623.50 : 149,241,649.50 = 149,241,649.50 : x
  2. Step 2: Convert to fraction form
    72,065,623.50/149,241,649.50 = 149,241,649.50/x
  3. Step 3: Cross multiply
    72,065,623.50x = 149,241,649.50 × 149,241,649.50
  4. Step 4: Simplify right side
    72,065,623.50x = 22,273,069,945,480,852
  5. Step 5: Solve for x
    x = 22,273,069,945,480,852/72,065,623.50
  6. Step 6: Final answer
    x = 309,066,498.89

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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.