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Finding the Third Proportional to 328,020 and 710,445

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Solution

The third proportional to 328,020 and 710,445 is: 1,538,723.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,020 : 710,445 = 710,445 : x
  2. Step 2: Convert to fraction form
    328,020/710,445 = 710,445/x
  3. Step 3: Cross multiply
    328,020x = 710,445 × 710,445
  4. Step 4: Simplify right side
    328,020x = 504,732,098,025
  5. Step 5: Solve for x
    x = 504,732,098,025/328,020
  6. Step 6: Final answer
    x = 1,538,723.55

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.