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Finding the Third Proportional to 309,050,968.50 and 671,777,397

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Solution

The third proportional to 309,050,968.50 and 671,777,397 is: 1,460,227,978.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    309,050,968.50 : 671,777,397 = 671,777,397 : x
  2. Step 2: Convert to fraction form
    309,050,968.50/671,777,397 = 671,777,397/x
  3. Step 3: Cross multiply
    309,050,968.50x = 671,777,397 × 671,777,397
  4. Step 4: Simplify right side
    309,050,968.50x = 451,284,871,120,095,616
  5. Step 5: Solve for x
    x = 451,284,871,120,095,616/309,050,968.50
  6. Step 6: Final answer
    x = 1,460,227,978.93

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.