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Finding the Third Proportional to 302,880 and 458,528

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Solution

The third proportional to 302,880 and 458,528 is: 694,162.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    302,880 : 458,528 = 458,528 : x
  2. Step 2: Convert to fraction form
    302,880/458,528 = 458,528/x
  3. Step 3: Cross multiply
    302,880x = 458,528 × 458,528
  4. Step 4: Simplify right side
    302,880x = 210,247,926,784
  5. Step 5: Solve for x
    x = 210,247,926,784/302,880
  6. Step 6: Final answer
    x = 694,162.46

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.