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Finding the Third Proportional to 677,724 and 1,460,421

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Solution

The third proportional to 677,724 and 1,460,421 is: 3,147,047.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    677,724 : 1,460,421 = 1,460,421 : x
  2. Step 2: Convert to fraction form
    677,724/1,460,421 = 1,460,421/x
  3. Step 3: Cross multiply
    677,724x = 1,460,421 × 1,460,421
  4. Step 4: Simplify right side
    677,724x = 2,132,829,497,241
  5. Step 5: Solve for x
    x = 2,132,829,497,241/677,724
  6. Step 6: Final answer
    x = 3,147,047.32

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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.