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Finding the Third Proportional to 328,670 and 506,929

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Solution

The third proportional to 328,670 and 506,929 is: 781,869.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,670 : 506,929 = 506,929 : x
  2. Step 2: Convert to fraction form
    328,670/506,929 = 506,929/x
  3. Step 3: Cross multiply
    328,670x = 506,929 × 506,929
  4. Step 4: Simplify right side
    328,670x = 256,977,011,041
  5. Step 5: Solve for x
    x = 256,977,011,041/328,670
  6. Step 6: Final answer
    x = 781,869.39

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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.