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Finding the Third Proportional to 243,144 and 390,664

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Solution

The third proportional to 243,144 and 390,664 is: 627,687.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    243,144 : 390,664 = 390,664 : x
  2. Step 2: Convert to fraction form
    243,144/390,664 = 390,664/x
  3. Step 3: Cross multiply
    243,144x = 390,664 × 390,664
  4. Step 4: Simplify right side
    243,144x = 152,618,360,896
  5. Step 5: Solve for x
    x = 152,618,360,896/243,144
  6. Step 6: Final answer
    x = 627,687.14

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.