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Finding the Third Proportional to 670,355 and 1,428,409

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Solution

The third proportional to 670,355 and 1,428,409 is: 3,043,689.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    670,355 : 1,428,409 = 1,428,409 : x
  2. Step 2: Convert to fraction form
    670,355/1,428,409 = 1,428,409/x
  3. Step 3: Cross multiply
    670,355x = 1,428,409 × 1,428,409
  4. Step 4: Simplify right side
    670,355x = 2,040,352,271,281
  5. Step 5: Solve for x
    x = 2,040,352,271,281/670,355
  6. Step 6: Final answer
    x = 3,043,689.20

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.