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Finding the Third Proportional to 299,020 and 498,342

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Solution

The third proportional to 299,020 and 498,342 is: 830,528.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    299,020 : 498,342 = 498,342 : x
  2. Step 2: Convert to fraction form
    299,020/498,342 = 498,342/x
  3. Step 3: Cross multiply
    299,020x = 498,342 × 498,342
  4. Step 4: Simplify right side
    299,020x = 248,344,748,964
  5. Step 5: Solve for x
    x = 248,344,748,964/299,020
  6. Step 6: Final answer
    x = 830,528.89

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Why These Related Problems?

These problems maintain the same ratio (1.67) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.