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Finding the Third Proportional to 141,315,480 and 213,316,737

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Solution

The third proportional to 141,315,480 and 213,316,737 is: 322,003,154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,315,480 : 213,316,737 = 213,316,737 : x
  2. Step 2: Convert to fraction form
    141,315,480/213,316,737 = 213,316,737/x
  3. Step 3: Cross multiply
    141,315,480x = 213,316,737 × 213,316,737
  4. Step 4: Simplify right side
    141,315,480x = 45,504,030,284,327,168
  5. Step 5: Solve for x
    x = 45,504,030,284,327,168/141,315,480
  6. Step 6: Final answer
    x = 322,003,154.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.