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Finding the Third Proportional to 420,480 and 934,272

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Solution

The third proportional to 420,480 and 934,272 is: 2,075,875.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    420,480 : 934,272 = 934,272 : x
  2. Step 2: Convert to fraction form
    420,480/934,272 = 934,272/x
  3. Step 3: Cross multiply
    420,480x = 934,272 × 934,272
  4. Step 4: Simplify right side
    420,480x = 872,864,169,984
  5. Step 5: Solve for x
    x = 872,864,169,984/420,480
  6. Step 6: Final answer
    x = 2,075,875.59

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.