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Finding the Third Proportional to 487,913 and 1,057,276

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Solution

The third proportional to 487,913 and 1,057,276 is: 2,291,048.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,913 : 1,057,276 = 1,057,276 : x
  2. Step 2: Convert to fraction form
    487,913/1,057,276 = 1,057,276/x
  3. Step 3: Cross multiply
    487,913x = 1,057,276 × 1,057,276
  4. Step 4: Simplify right side
    487,913x = 1,117,832,540,176
  5. Step 5: Solve for x
    x = 1,117,832,540,176/487,913
  6. Step 6: Final answer
    x = 2,291,048.90

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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.