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Finding the Third Proportional to 420,656.50 and 912,289

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Solution

The third proportional to 420,656.50 and 912,289 is: 1,978,505.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,656.50 : 912,289 = 912,289 : x
  2. Step 2: Convert to fraction form
    420,656.50/912,289 = 912,289/x
  3. Step 3: Cross multiply
    420,656.50x = 912,289 × 912,289
  4. Step 4: Simplify right side
    420,656.50x = 832,271,219,521
  5. Step 5: Solve for x
    x = 832,271,219,521/420,656.50
  6. Step 6: Final answer
    x = 1,978,505.55

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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.