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Finding the Third Proportional to 978,681 and 2,156,037

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Solution

The third proportional to 978,681 and 2,156,037 is: 4,749,755.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,681 : 2,156,037 = 2,156,037 : x
  2. Step 2: Convert to fraction form
    978,681/2,156,037 = 2,156,037/x
  3. Step 3: Cross multiply
    978,681x = 2,156,037 × 2,156,037
  4. Step 4: Simplify right side
    978,681x = 4,648,495,545,369
  5. Step 5: Solve for x
    x = 4,648,495,545,369/978,681
  6. Step 6: Final answer
    x = 4,749,755.58

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.