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Finding the Third Proportional to 385,642 and 830,482

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Solution

The third proportional to 385,642 and 830,482 is: 1,788,447.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    385,642 : 830,482 = 830,482 : x
  2. Step 2: Convert to fraction form
    385,642/830,482 = 830,482/x
  3. Step 3: Cross multiply
    385,642x = 830,482 × 830,482
  4. Step 4: Simplify right side
    385,642x = 689,700,352,324
  5. Step 5: Solve for x
    x = 689,700,352,324/385,642
  6. Step 6: Final answer
    x = 1,788,447.19

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.