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Finding the Third Proportional to 328,358 and 499,158

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Solution

The third proportional to 328,358 and 499,158 is: 758,802.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,358 : 499,158 = 499,158 : x
  2. Step 2: Convert to fraction form
    328,358/499,158 = 499,158/x
  3. Step 3: Cross multiply
    328,358x = 499,158 × 499,158
  4. Step 4: Simplify right side
    328,358x = 249,158,708,964
  5. Step 5: Solve for x
    x = 249,158,708,964/328,358
  6. Step 6: Final answer
    x = 758,802.01

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.