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Finding the Third Proportional to 507,480 and 790,272

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Solution

The third proportional to 507,480 and 790,272 is: 1,230,649.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    507,480 : 790,272 = 790,272 : x
  2. Step 2: Convert to fraction form
    507,480/790,272 = 790,272/x
  3. Step 3: Cross multiply
    507,480x = 790,272 × 790,272
  4. Step 4: Simplify right side
    507,480x = 624,529,833,984
  5. Step 5: Solve for x
    x = 624,529,833,984/507,480
  6. Step 6: Final answer
    x = 1,230,649.16

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.