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Finding the Third Proportional to 260,316 and 392,688

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Solution

The third proportional to 260,316 and 392,688 is: 592,371.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    260,316 : 392,688 = 392,688 : x
  2. Step 2: Convert to fraction form
    260,316/392,688 = 392,688/x
  3. Step 3: Cross multiply
    260,316x = 392,688 × 392,688
  4. Step 4: Simplify right side
    260,316x = 154,203,865,344
  5. Step 5: Solve for x
    x = 154,203,865,344/260,316
  6. Step 6: Final answer
    x = 592,371.83

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.