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Finding the Third Proportional to 977,259 and 2,121,630

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Solution

The third proportional to 977,259 and 2,121,630 is: 4,606,060.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    977,259 : 2,121,630 = 2,121,630 : x
  2. Step 2: Convert to fraction form
    977,259/2,121,630 = 2,121,630/x
  3. Step 3: Cross multiply
    977,259x = 2,121,630 × 2,121,630
  4. Step 4: Simplify right side
    977,259x = 4,501,313,856,900
  5. Step 5: Solve for x
    x = 4,501,313,856,900/977,259
  6. Step 6: Final answer
    x = 4,606,060.27

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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.