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Finding the Third Proportional to 84,905,780 and 181,920,303

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Solution

The third proportional to 84,905,780 and 181,920,303 is: 389,784,966.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,905,780 : 181,920,303 = 181,920,303 : x
  2. Step 2: Convert to fraction form
    84,905,780/181,920,303 = 181,920,303/x
  3. Step 3: Cross multiply
    84,905,780x = 181,920,303 × 181,920,303
  4. Step 4: Simplify right side
    84,905,780x = 33,094,996,643,611,808
  5. Step 5: Solve for x
    x = 33,094,996,643,611,808/84,905,780
  6. Step 6: Final answer
    x = 389,784,966.86

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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.