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Finding the Third Proportional to 565,440 and 866,280

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Solution

The third proportional to 565,440 and 866,280 is: 1,327,180.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    565,440 : 866,280 = 866,280 : x
  2. Step 2: Convert to fraction form
    565,440/866,280 = 866,280/x
  3. Step 3: Cross multiply
    565,440x = 866,280 × 866,280
  4. Step 4: Simplify right side
    565,440x = 750,441,038,400
  5. Step 5: Solve for x
    x = 750,441,038,400/565,440
  6. Step 6: Final answer
    x = 1,327,180.67

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.