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Finding the Third Proportional to 340,730,364 and 741,160,188

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Solution

The third proportional to 340,730,364 and 741,160,188 is: 1,612,179,254.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    340,730,364 : 741,160,188 = 741,160,188 : x
  2. Step 2: Convert to fraction form
    340,730,364/741,160,188 = 741,160,188/x
  3. Step 3: Cross multiply
    340,730,364x = 741,160,188 × 741,160,188
  4. Step 4: Simplify right side
    340,730,364x = 549,318,424,276,195,328
  5. Step 5: Solve for x
    x = 549,318,424,276,195,328/340,730,364
  6. Step 6: Final answer
    x = 1,612,179,254.67

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.