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Finding the Third Proportional to 487,921 and 1,057,292

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Solution

The third proportional to 487,921 and 1,057,292 is: 2,291,080.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,921 : 1,057,292 = 1,057,292 : x
  2. Step 2: Convert to fraction form
    487,921/1,057,292 = 1,057,292/x
  3. Step 3: Cross multiply
    487,921x = 1,057,292 × 1,057,292
  4. Step 4: Simplify right side
    487,921x = 1,117,866,373,264
  5. Step 5: Solve for x
    x = 1,117,866,373,264/487,921
  6. Step 6: Final answer
    x = 2,291,080.67

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.