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Finding the Third Proportional to 453,402 and 977,608

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Solution

The third proportional to 453,402 and 977,608 is: 2,107,880.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    453,402 : 977,608 = 977,608 : x
  2. Step 2: Convert to fraction form
    453,402/977,608 = 977,608/x
  3. Step 3: Cross multiply
    453,402x = 977,608 × 977,608
  4. Step 4: Simplify right side
    453,402x = 955,717,401,664
  5. Step 5: Solve for x
    x = 955,717,401,664/453,402
  6. Step 6: Final answer
    x = 2,107,880.87

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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.