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Finding the Third Proportional to 153,609 and 317,875

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Solution

The third proportional to 153,609 and 317,875 is: 657,803.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,609 : 317,875 = 317,875 : x
  2. Step 2: Convert to fraction form
    153,609/317,875 = 317,875/x
  3. Step 3: Cross multiply
    153,609x = 317,875 × 317,875
  4. Step 4: Simplify right side
    153,609x = 101,044,515,625
  5. Step 5: Solve for x
    x = 101,044,515,625/153,609
  6. Step 6: Final answer
    x = 657,803.36

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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.