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Finding the Third Proportional to 31,039,412 and 65,860,875.75

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Solution

The third proportional to 31,039,412 and 65,860,875.75 is: 139,746,685.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,039,412 : 65,860,875.75 = 65,860,875.75 : x
  2. Step 2: Convert to fraction form
    31,039,412/65,860,875.75 = 65,860,875.75/x
  3. Step 3: Cross multiply
    31,039,412x = 65,860,875.75 × 65,860,875.75
  4. Step 4: Simplify right side
    31,039,412x = 4,337,654,954,556,938
  5. Step 5: Solve for x
    x = 4,337,654,954,556,938/31,039,412
  6. Step 6: Final answer
    x = 139,746,685.75

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.