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Finding the Third Proportional to 292,578 and 392,211

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Solution

The third proportional to 292,578 and 392,211 is: 525,772.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,578 : 392,211 = 392,211 : x
  2. Step 2: Convert to fraction form
    292,578/392,211 = 392,211/x
  3. Step 3: Cross multiply
    292,578x = 392,211 × 392,211
  4. Step 4: Simplify right side
    292,578x = 153,829,468,521
  5. Step 5: Solve for x
    x = 153,829,468,521/292,578
  6. Step 6: Final answer
    x = 525,772.51

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.