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Finding the Third Proportional to 31,757,088 and 68,891,280

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Solution

The third proportional to 31,757,088 and 68,891,280 is: 149,447,218.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,757,088 : 68,891,280 = 68,891,280 : x
  2. Step 2: Convert to fraction form
    31,757,088/68,891,280 = 68,891,280/x
  3. Step 3: Cross multiply
    31,757,088x = 68,891,280 × 68,891,280
  4. Step 4: Simplify right side
    31,757,088x = 4,746,008,460,038,400
  5. Step 5: Solve for x
    x = 4,746,008,460,038,400/31,757,088
  6. Step 6: Final answer
    x = 149,447,218.21

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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.