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Finding the Third Proportional to 328,573.50 and 507,369

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Solution

The third proportional to 328,573.50 and 507,369 is: 783,457.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,573.50 : 507,369 = 507,369 : x
  2. Step 2: Convert to fraction form
    328,573.50/507,369 = 507,369/x
  3. Step 3: Cross multiply
    328,573.50x = 507,369 × 507,369
  4. Step 4: Simplify right side
    328,573.50x = 257,423,302,161
  5. Step 5: Solve for x
    x = 257,423,302,161/328,573.50
  6. Step 6: Final answer
    x = 783,457.28

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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.