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Finding the Third Proportional to 343,146 and 495,030

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Solution

The third proportional to 343,146 and 495,030 is: 714,141.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    343,146 : 495,030 = 495,030 : x
  2. Step 2: Convert to fraction form
    343,146/495,030 = 495,030/x
  3. Step 3: Cross multiply
    343,146x = 495,030 × 495,030
  4. Step 4: Simplify right side
    343,146x = 245,054,700,900
  5. Step 5: Solve for x
    x = 245,054,700,900/343,146
  6. Step 6: Final answer
    x = 714,141.21

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.