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Finding the Third Proportional to 262,080 and 392,709

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Solution

The third proportional to 262,080 and 392,709 is: 588,447.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    262,080 : 392,709 = 392,709 : x
  2. Step 2: Convert to fraction form
    262,080/392,709 = 392,709/x
  3. Step 3: Cross multiply
    262,080x = 392,709 × 392,709
  4. Step 4: Simplify right side
    262,080x = 154,220,358,681
  5. Step 5: Solve for x
    x = 154,220,358,681/262,080
  6. Step 6: Final answer
    x = 588,447.64

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.