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Finding the Third Proportional to 84,905,812 and 181,920,365

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Solution

The third proportional to 84,905,812 and 181,920,365 is: 389,785,085.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,905,812 : 181,920,365 = 181,920,365 : x
  2. Step 2: Convert to fraction form
    84,905,812/181,920,365 = 181,920,365/x
  3. Step 3: Cross multiply
    84,905,812x = 181,920,365 × 181,920,365
  4. Step 4: Simplify right side
    84,905,812x = 33,095,019,201,733,224
  5. Step 5: Solve for x
    x = 33,095,019,201,733,224/84,905,812
  6. Step 6: Final answer
    x = 389,785,085.64

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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.