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Finding the Third Proportional to 420,306 and 912,072

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Solution

The third proportional to 420,306 and 912,072 is: 1,979,213.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,306 : 912,072 = 912,072 : x
  2. Step 2: Convert to fraction form
    420,306/912,072 = 912,072/x
  3. Step 3: Cross multiply
    420,306x = 912,072 × 912,072
  4. Step 4: Simplify right side
    420,306x = 831,875,333,184
  5. Step 5: Solve for x
    x = 831,875,333,184/420,306
  6. Step 6: Final answer
    x = 1,979,213.56

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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.