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Finding the Third Proportional to 430,992 and 917,280

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Solution

The third proportional to 430,992 and 917,280 is: 1,952,246.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    430,992 : 917,280 = 917,280 : x
  2. Step 2: Convert to fraction form
    430,992/917,280 = 917,280/x
  3. Step 3: Cross multiply
    430,992x = 917,280 × 917,280
  4. Step 4: Simplify right side
    430,992x = 841,402,598,400
  5. Step 5: Solve for x
    x = 841,402,598,400/430,992
  6. Step 6: Final answer
    x = 1,952,246.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.