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Finding the Third Proportional to 287,798 and 435,711

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Solution

The third proportional to 287,798 and 435,711 is: 659,643.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,798 : 435,711 = 435,711 : x
  2. Step 2: Convert to fraction form
    287,798/435,711 = 435,711/x
  3. Step 3: Cross multiply
    287,798x = 435,711 × 435,711
  4. Step 4: Simplify right side
    287,798x = 189,844,075,521
  5. Step 5: Solve for x
    x = 189,844,075,521/287,798
  6. Step 6: Final answer
    x = 659,643.48

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.