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Finding the Third Proportional to 431,319 and 930,030

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Solution

The third proportional to 431,319 and 930,030 is: 2,005,373.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    431,319 : 930,030 = 930,030 : x
  2. Step 2: Convert to fraction form
    431,319/930,030 = 930,030/x
  3. Step 3: Cross multiply
    431,319x = 930,030 × 930,030
  4. Step 4: Simplify right side
    431,319x = 864,955,800,900
  5. Step 5: Solve for x
    x = 864,955,800,900/431,319
  6. Step 6: Final answer
    x = 2,005,373.75

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.