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Finding the Third Proportional to 420,304 and 912,053

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Solution

The third proportional to 420,304 and 912,053 is: 1,979,140.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,304 : 912,053 = 912,053 : x
  2. Step 2: Convert to fraction form
    420,304/912,053 = 912,053/x
  3. Step 3: Cross multiply
    420,304x = 912,053 × 912,053
  4. Step 4: Simplify right side
    420,304x = 831,840,674,809
  5. Step 5: Solve for x
    x = 831,840,674,809/420,304
  6. Step 6: Final answer
    x = 1,979,140.51

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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.