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Finding the Third Proportional to 287,705 and 632,515

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Solution

The third proportional to 287,705 and 632,515 is: 1,390,574.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,705 : 632,515 = 632,515 : x
  2. Step 2: Convert to fraction form
    287,705/632,515 = 632,515/x
  3. Step 3: Cross multiply
    287,705x = 632,515 × 632,515
  4. Step 4: Simplify right side
    287,705x = 400,075,225,225
  5. Step 5: Solve for x
    x = 400,075,225,225/287,705
  6. Step 6: Final answer
    x = 1,390,574.46

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.