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Finding the Third Proportional to 4,037,700 and 8,709,387

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Solution

The third proportional to 4,037,700 and 8,709,387 is: 18,786,294.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,037,700 : 8,709,387 = 8,709,387 : x
  2. Step 2: Convert to fraction form
    4,037,700/8,709,387 = 8,709,387/x
  3. Step 3: Cross multiply
    4,037,700x = 8,709,387 × 8,709,387
  4. Step 4: Simplify right side
    4,037,700x = 75,853,421,915,769
  5. Step 5: Solve for x
    x = 75,853,421,915,769/4,037,700
  6. Step 6: Final answer
    x = 18,786,294.65

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.