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Finding the Third Proportional to 978,294 and 2,119,437

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Solution

The third proportional to 978,294 and 2,119,437 is: 4,591,680.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    978,294 : 2,119,437 = 2,119,437 : x
  2. Step 2: Convert to fraction form
    978,294/2,119,437 = 2,119,437/x
  3. Step 3: Cross multiply
    978,294x = 2,119,437 × 2,119,437
  4. Step 4: Simplify right side
    978,294x = 4,492,013,196,969
  5. Step 5: Solve for x
    x = 4,492,013,196,969/978,294
  6. Step 6: Final answer
    x = 4,591,680.21

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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.