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Finding the Third Proportional to 421,748 and 909,928

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Solution

The third proportional to 421,748 and 909,928 is: 1,963,184.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,748 : 909,928 = 909,928 : x
  2. Step 2: Convert to fraction form
    421,748/909,928 = 909,928/x
  3. Step 3: Cross multiply
    421,748x = 909,928 × 909,928
  4. Step 4: Simplify right side
    421,748x = 827,968,965,184
  5. Step 5: Solve for x
    x = 827,968,965,184/421,748
  6. Step 6: Final answer
    x = 1,963,184.09

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.