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Finding the Third Proportional to 358,047 and 470,583

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Solution

The third proportional to 358,047 and 470,583 is: 618,489.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,047 : 470,583 = 470,583 : x
  2. Step 2: Convert to fraction form
    358,047/470,583 = 470,583/x
  3. Step 3: Cross multiply
    358,047x = 470,583 × 470,583
  4. Step 4: Simplify right side
    358,047x = 221,448,359,889
  5. Step 5: Solve for x
    x = 221,448,359,889/358,047
  6. Step 6: Final answer
    x = 618,489.64

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.