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Finding the Third Proportional to 426,478 and 912,006

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Solution

The third proportional to 426,478 and 912,006 is: 1,950,288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    426,478 : 912,006 = 912,006 : x
  2. Step 2: Convert to fraction form
    426,478/912,006 = 912,006/x
  3. Step 3: Cross multiply
    426,478x = 912,006 × 912,006
  4. Step 4: Simplify right side
    426,478x = 831,754,944,036
  5. Step 5: Solve for x
    x = 831,754,944,036/426,478
  6. Step 6: Final answer
    x = 1,950,288.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.