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Finding the Third Proportional to 421,630 and 910,560

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Solution

The third proportional to 421,630 and 910,560 is: 1,966,462.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,630 : 910,560 = 910,560 : x
  2. Step 2: Convert to fraction form
    421,630/910,560 = 910,560/x
  3. Step 3: Cross multiply
    421,630x = 910,560 × 910,560
  4. Step 4: Simplify right side
    421,630x = 829,119,513,600
  5. Step 5: Solve for x
    x = 829,119,513,600/421,630
  6. Step 6: Final answer
    x = 1,966,462.33

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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.