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Finding the Third Proportional to 386,421 and 846,654

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Solution

The third proportional to 386,421 and 846,654 is: 1,855,031.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    386,421 : 846,654 = 846,654 : x
  2. Step 2: Convert to fraction form
    386,421/846,654 = 846,654/x
  3. Step 3: Cross multiply
    386,421x = 846,654 × 846,654
  4. Step 4: Simplify right side
    386,421x = 716,822,995,716
  5. Step 5: Solve for x
    x = 716,822,995,716/386,421
  6. Step 6: Final answer
    x = 1,855,031.16

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.