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Finding the Third Proportional to 419,400 and 912,528

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Solution

The third proportional to 419,400 and 912,528 is: 1,985,472.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,400 : 912,528 = 912,528 : x
  2. Step 2: Convert to fraction form
    419,400/912,528 = 912,528/x
  3. Step 3: Cross multiply
    419,400x = 912,528 × 912,528
  4. Step 4: Simplify right side
    419,400x = 832,707,350,784
  5. Step 5: Solve for x
    x = 832,707,350,784/419,400
  6. Step 6: Final answer
    x = 1,985,472.94

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.