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Finding the Third Proportional to 561,908 and 912,938

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Solution

The third proportional to 561,908 and 912,938 is: 1,483,260.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    561,908 : 912,938 = 912,938 : x
  2. Step 2: Convert to fraction form
    561,908/912,938 = 912,938/x
  3. Step 3: Cross multiply
    561,908x = 912,938 × 912,938
  4. Step 4: Simplify right side
    561,908x = 833,455,791,844
  5. Step 5: Solve for x
    x = 833,455,791,844/561,908
  6. Step 6: Final answer
    x = 1,483,260.23

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.