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Finding the Third Proportional to 328,426 and 710,826

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Solution

The third proportional to 328,426 and 710,826 is: 1,538,470.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    328,426 : 710,826 = 710,826 : x
  2. Step 2: Convert to fraction form
    328,426/710,826 = 710,826/x
  3. Step 3: Cross multiply
    328,426x = 710,826 × 710,826
  4. Step 4: Simplify right side
    328,426x = 505,273,602,276
  5. Step 5: Solve for x
    x = 505,273,602,276/328,426
  6. Step 6: Final answer
    x = 1,538,470.16

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.