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Finding the Third Proportional to 155,510,337 and 334,098,829.50

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Solution

The third proportional to 155,510,337 and 334,098,829.50 is: 717,778,830.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    155,510,337 : 334,098,829.50 = 334,098,829.50 : x
  2. Step 2: Convert to fraction form
    155,510,337/334,098,829.50 = 334,098,829.50/x
  3. Step 3: Cross multiply
    155,510,337x = 334,098,829.50 × 334,098,829.50
  4. Step 4: Simplify right side
    155,510,337x = 111,622,027,873,270,064
  5. Step 5: Solve for x
    x = 111,622,027,873,270,064/155,510,337
  6. Step 6: Final answer
    x = 717,778,830.83

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.