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Finding the Third Proportional to 358,574 and 772,476

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Solution

The third proportional to 358,574 and 772,476 is: 1,664,145.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,574 : 772,476 = 772,476 : x
  2. Step 2: Convert to fraction form
    358,574/772,476 = 772,476/x
  3. Step 3: Cross multiply
    358,574x = 772,476 × 772,476
  4. Step 4: Simplify right side
    358,574x = 596,719,170,576
  5. Step 5: Solve for x
    x = 596,719,170,576/358,574
  6. Step 6: Final answer
    x = 1,664,145.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.