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Finding the Third Proportional to 153,423 and 317,497

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Solution

The third proportional to 153,423 and 317,497 is: 657,035.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,423 : 317,497 = 317,497 : x
  2. Step 2: Convert to fraction form
    153,423/317,497 = 317,497/x
  3. Step 3: Cross multiply
    153,423x = 317,497 × 317,497
  4. Step 4: Simplify right side
    153,423x = 100,804,345,009
  5. Step 5: Solve for x
    x = 100,804,345,009/153,423
  6. Step 6: Final answer
    x = 657,035.42

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.