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Finding the Third Proportional to 328,648 and 507,463

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Solution

The third proportional to 328,648 and 507,463 is: 783,569.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,648 : 507,463 = 507,463 : x
  2. Step 2: Convert to fraction form
    328,648/507,463 = 507,463/x
  3. Step 3: Cross multiply
    328,648x = 507,463 × 507,463
  4. Step 4: Simplify right side
    328,648x = 257,518,696,369
  5. Step 5: Solve for x
    x = 257,518,696,369/328,648
  6. Step 6: Final answer
    x = 783,569.95

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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.