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Finding the Third Proportional to 978,020 and 2,118,829

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Solution

The third proportional to 978,020 and 2,118,829 is: 4,590,331.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,020 : 2,118,829 = 2,118,829 : x
  2. Step 2: Convert to fraction form
    978,020/2,118,829 = 2,118,829/x
  3. Step 3: Cross multiply
    978,020x = 2,118,829 × 2,118,829
  4. Step 4: Simplify right side
    978,020x = 4,489,436,331,241
  5. Step 5: Solve for x
    x = 4,489,436,331,241/978,020
  6. Step 6: Final answer
    x = 4,590,331.82

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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.