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Finding the Third Proportional to 84,905,809.88 and 181,920,360.38

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Solution

The third proportional to 84,905,809.88 and 181,920,360.38 is: 389,785,075.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,905,809.88 : 181,920,360.38 = 181,920,360.38 : x
  2. Step 2: Convert to fraction form
    84,905,809.88/181,920,360.38 = 181,920,360.38/x
  3. Step 3: Cross multiply
    84,905,809.88x = 181,920,360.38 × 181,920,360.38
  4. Step 4: Simplify right side
    84,905,809.88x = 33,095,017,518,969,872
  5. Step 5: Solve for x
    x = 33,095,017,518,969,872/84,905,809.88
  6. Step 6: Final answer
    x = 389,785,075.58

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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.