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Finding the Third Proportional to 421,160 and 912,304

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Solution

The third proportional to 421,160 and 912,304 is: 1,976,205.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    421,160 : 912,304 = 912,304 : x
  2. Step 2: Convert to fraction form
    421,160/912,304 = 912,304/x
  3. Step 3: Cross multiply
    421,160x = 912,304 × 912,304
  4. Step 4: Simplify right side
    421,160x = 832,298,588,416
  5. Step 5: Solve for x
    x = 832,298,588,416/421,160
  6. Step 6: Final answer
    x = 1,976,205.22

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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.