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Finding the Third Proportional to 349,030 and 553,567

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Solution

The third proportional to 349,030 and 553,567 is: 877,965.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    349,030 : 553,567 = 553,567 : x
  2. Step 2: Convert to fraction form
    349,030/553,567 = 553,567/x
  3. Step 3: Cross multiply
    349,030x = 553,567 × 553,567
  4. Step 4: Simplify right side
    349,030x = 306,436,423,489
  5. Step 5: Solve for x
    x = 306,436,423,489/349,030
  6. Step 6: Final answer
    x = 877,965.86

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.