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Finding the Third Proportional to 288,207 and 460,417

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Solution

The third proportional to 288,207 and 460,417 is: 735,526.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    288,207 : 460,417 = 460,417 : x
  2. Step 2: Convert to fraction form
    288,207/460,417 = 460,417/x
  3. Step 3: Cross multiply
    288,207x = 460,417 × 460,417
  4. Step 4: Simplify right side
    288,207x = 211,983,813,889
  5. Step 5: Solve for x
    x = 211,983,813,889/288,207
  6. Step 6: Final answer
    x = 735,526.25

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.