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Finding the Third Proportional to 67,257,778 and 139,883,409

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Solution

The third proportional to 67,257,778 and 139,883,409 is: 290,930,933.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,257,778 : 139,883,409 = 139,883,409 : x
  2. Step 2: Convert to fraction form
    67,257,778/139,883,409 = 139,883,409/x
  3. Step 3: Cross multiply
    67,257,778x = 139,883,409 × 139,883,409
  4. Step 4: Simplify right side
    67,257,778x = 19,567,368,113,461,280
  5. Step 5: Solve for x
    x = 19,567,368,113,461,280/67,257,778
  6. Step 6: Final answer
    x = 290,930,933.13

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.