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Finding the Third Proportional to 209,748 and 456,356

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Solution

The third proportional to 209,748 and 456,356 is: 992,909.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    209,748 : 456,356 = 456,356 : x
  2. Step 2: Convert to fraction form
    209,748/456,356 = 456,356/x
  3. Step 3: Cross multiply
    209,748x = 456,356 × 456,356
  4. Step 4: Simplify right side
    209,748x = 208,260,798,736
  5. Step 5: Solve for x
    x = 208,260,798,736/209,748
  6. Step 6: Final answer
    x = 992,909.58

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.