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Finding the Third Proportional to 389,688 and 528,084

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Solution

The third proportional to 389,688 and 528,084 is: 715,630.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    389,688 : 528,084 = 528,084 : x
  2. Step 2: Convert to fraction form
    389,688/528,084 = 528,084/x
  3. Step 3: Cross multiply
    389,688x = 528,084 × 528,084
  4. Step 4: Simplify right side
    389,688x = 278,872,711,056
  5. Step 5: Solve for x
    x = 278,872,711,056/389,688
  6. Step 6: Final answer
    x = 715,630.74

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.