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Finding the Third Proportional to 138,143,440 and 207,002,340

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Solution

The third proportional to 138,143,440 and 207,002,340 is: 310,184,607.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,143,440 : 207,002,340 = 207,002,340 : x
  2. Step 2: Convert to fraction form
    138,143,440/207,002,340 = 207,002,340/x
  3. Step 3: Cross multiply
    138,143,440x = 207,002,340 × 207,002,340
  4. Step 4: Simplify right side
    138,143,440x = 42,849,968,765,475,600
  5. Step 5: Solve for x
    x = 42,849,968,765,475,600/138,143,440
  6. Step 6: Final answer
    x = 310,184,607.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.