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Finding the Third Proportional to 139,368 and 296,715

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Solution

The third proportional to 139,368 and 296,715 is: 631,707.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,368 : 296,715 = 296,715 : x
  2. Step 2: Convert to fraction form
    139,368/296,715 = 296,715/x
  3. Step 3: Cross multiply
    139,368x = 296,715 × 296,715
  4. Step 4: Simplify right side
    139,368x = 88,039,791,225
  5. Step 5: Solve for x
    x = 88,039,791,225/139,368
  6. Step 6: Final answer
    x = 631,707.36

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.