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Finding the Third Proportional to 239,358 and 357,342

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Solution

The third proportional to 239,358 and 357,342 is: 533,482.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    239,358 : 357,342 = 357,342 : x
  2. Step 2: Convert to fraction form
    239,358/357,342 = 357,342/x
  3. Step 3: Cross multiply
    239,358x = 357,342 × 357,342
  4. Step 4: Simplify right side
    239,358x = 127,693,304,964
  5. Step 5: Solve for x
    x = 127,693,304,964/239,358
  6. Step 6: Final answer
    x = 533,482.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.