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Finding the Third Proportional to 420,294 and 912,030

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Solution

The third proportional to 420,294 and 912,030 is: 1,979,087.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,294 : 912,030 = 912,030 : x
  2. Step 2: Convert to fraction form
    420,294/912,030 = 912,030/x
  3. Step 3: Cross multiply
    420,294x = 912,030 × 912,030
  4. Step 4: Simplify right side
    420,294x = 831,798,720,900
  5. Step 5: Solve for x
    x = 831,798,720,900/420,294
  6. Step 6: Final answer
    x = 1,979,087.78

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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.