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Finding the Third Proportional to 120,829,320 and 178,977,924

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Solution

The third proportional to 120,829,320 and 178,977,924 is: 265,110,300.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,829,320 : 178,977,924 = 178,977,924 : x
  2. Step 2: Convert to fraction form
    120,829,320/178,977,924 = 178,977,924/x
  3. Step 3: Cross multiply
    120,829,320x = 178,977,924 × 178,977,924
  4. Step 4: Simplify right side
    120,829,320x = 32,033,097,279,349,776
  5. Step 5: Solve for x
    x = 32,033,097,279,349,776/120,829,320
  6. Step 6: Final answer
    x = 265,110,300.04

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.