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Finding the Third Proportional to 451,710 and 977,859

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Solution

The third proportional to 451,710 and 977,859 is: 2,116,863.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    451,710 : 977,859 = 977,859 : x
  2. Step 2: Convert to fraction form
    451,710/977,859 = 977,859/x
  3. Step 3: Cross multiply
    451,710x = 977,859 × 977,859
  4. Step 4: Simplify right side
    451,710x = 956,208,223,881
  5. Step 5: Solve for x
    x = 956,208,223,881/451,710
  6. Step 6: Final answer
    x = 2,116,863.08

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.