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Finding the Third Proportional to 643,153 and 1,406,265

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Solution

The third proportional to 643,153 and 1,406,265 is: 3,074,822.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    643,153 : 1,406,265 = 1,406,265 : x
  2. Step 2: Convert to fraction form
    643,153/1,406,265 = 1,406,265/x
  3. Step 3: Cross multiply
    643,153x = 1,406,265 × 1,406,265
  4. Step 4: Simplify right side
    643,153x = 1,977,581,250,225
  5. Step 5: Solve for x
    x = 1,977,581,250,225/643,153
  6. Step 6: Final answer
    x = 3,074,822.40

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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.