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Finding the Third Proportional to 977,880 and 2,165,712

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Solution

The third proportional to 977,880 and 2,165,712 is: 4,796,404.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,880 : 2,165,712 = 2,165,712 : x
  2. Step 2: Convert to fraction form
    977,880/2,165,712 = 2,165,712/x
  3. Step 3: Cross multiply
    977,880x = 2,165,712 × 2,165,712
  4. Step 4: Simplify right side
    977,880x = 4,690,308,466,944
  5. Step 5: Solve for x
    x = 4,690,308,466,944/977,880
  6. Step 6: Final answer
    x = 4,796,404.94

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.