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Finding the Third Proportional to 152,564 and 319,070

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Solution

The third proportional to 152,564 and 319,070 is: 667,298.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    152,564 : 319,070 = 319,070 : x
  2. Step 2: Convert to fraction form
    152,564/319,070 = 319,070/x
  3. Step 3: Cross multiply
    152,564x = 319,070 × 319,070
  4. Step 4: Simplify right side
    152,564x = 101,805,664,900
  5. Step 5: Solve for x
    x = 101,805,664,900/152,564
  6. Step 6: Final answer
    x = 667,298.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.