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Finding the Third Proportional to 287,478 and 604,754

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Solution

The third proportional to 287,478 and 604,754 is: 1,272,192.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,478 : 604,754 = 604,754 : x
  2. Step 2: Convert to fraction form
    287,478/604,754 = 604,754/x
  3. Step 3: Cross multiply
    287,478x = 604,754 × 604,754
  4. Step 4: Simplify right side
    287,478x = 365,727,400,516
  5. Step 5: Solve for x
    x = 365,727,400,516/287,478
  6. Step 6: Final answer
    x = 1,272,192.66

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.