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Finding the Third Proportional to 977,020 and 2,121,149

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Solution

The third proportional to 977,020 and 2,121,149 is: 4,605,098.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,020 : 2,121,149 = 2,121,149 : x
  2. Step 2: Convert to fraction form
    977,020/2,121,149 = 2,121,149/x
  3. Step 3: Cross multiply
    977,020x = 2,121,149 × 2,121,149
  4. Step 4: Simplify right side
    977,020x = 4,499,273,080,201
  5. Step 5: Solve for x
    x = 4,499,273,080,201/977,020
  6. Step 6: Final answer
    x = 4,605,098.24

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.