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Finding the Third Proportional to 253,485 and 392,362

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Solution

The third proportional to 253,485 and 392,362 is: 607,325.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    253,485 : 392,362 = 392,362 : x
  2. Step 2: Convert to fraction form
    253,485/392,362 = 392,362/x
  3. Step 3: Cross multiply
    253,485x = 392,362 × 392,362
  4. Step 4: Simplify right side
    253,485x = 153,947,939,044
  5. Step 5: Solve for x
    x = 153,947,939,044/253,485
  6. Step 6: Final answer
    x = 607,325.64

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.