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Finding the Third Proportional to 306,574 and 457,973

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Solution

The third proportional to 306,574 and 457,973 is: 684,139.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    306,574 : 457,973 = 457,973 : x
  2. Step 2: Convert to fraction form
    306,574/457,973 = 457,973/x
  3. Step 3: Cross multiply
    306,574x = 457,973 × 457,973
  4. Step 4: Simplify right side
    306,574x = 209,739,268,729
  5. Step 5: Solve for x
    x = 209,739,268,729/306,574
  6. Step 6: Final answer
    x = 684,139.13

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.