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Finding the Third Proportional to 328,258 and 507,139

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Solution

The third proportional to 328,258 and 507,139 is: 783,499.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,258 : 507,139 = 507,139 : x
  2. Step 2: Convert to fraction form
    328,258/507,139 = 507,139/x
  3. Step 3: Cross multiply
    328,258x = 507,139 × 507,139
  4. Step 4: Simplify right side
    328,258x = 257,189,965,321
  5. Step 5: Solve for x
    x = 257,189,965,321/328,258
  6. Step 6: Final answer
    x = 783,499.46

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.