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Finding the Third Proportional to 90,231,480 and 190,749,312

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Solution

The third proportional to 90,231,480 and 190,749,312 is: 403,243,967.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,231,480 : 190,749,312 = 190,749,312 : x
  2. Step 2: Convert to fraction form
    90,231,480/190,749,312 = 190,749,312/x
  3. Step 3: Cross multiply
    90,231,480x = 190,749,312 × 190,749,312
  4. Step 4: Simplify right side
    90,231,480x = 36,385,300,028,473,344
  5. Step 5: Solve for x
    x = 36,385,300,028,473,344/90,231,480
  6. Step 6: Final answer
    x = 403,243,967.94

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.