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Finding the Third Proportional to 317,724 and 495,342

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Solution

The third proportional to 317,724 and 495,342 is: 772,254.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    317,724 : 495,342 = 495,342 : x
  2. Step 2: Convert to fraction form
    317,724/495,342 = 495,342/x
  3. Step 3: Cross multiply
    317,724x = 495,342 × 495,342
  4. Step 4: Simplify right side
    317,724x = 245,363,696,964
  5. Step 5: Solve for x
    x = 245,363,696,964/317,724
  6. Step 6: Final answer
    x = 772,254.21

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.