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Finding the Third Proportional to 153,607 and 317,871

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Solution

The third proportional to 153,607 and 317,871 is: 657,795.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    153,607 : 317,871 = 317,871 : x
  2. Step 2: Convert to fraction form
    153,607/317,871 = 317,871/x
  3. Step 3: Cross multiply
    153,607x = 317,871 × 317,871
  4. Step 4: Simplify right side
    153,607x = 101,041,972,641
  5. Step 5: Solve for x
    x = 101,041,972,641/153,607
  6. Step 6: Final answer
    x = 657,795.37

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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.