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Finding the Third Proportional to 356,455 and 484,259

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Solution

The third proportional to 356,455 and 484,259 is: 657,886.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    356,455 : 484,259 = 484,259 : x
  2. Step 2: Convert to fraction form
    356,455/484,259 = 484,259/x
  3. Step 3: Cross multiply
    356,455x = 484,259 × 484,259
  4. Step 4: Simplify right side
    356,455x = 234,506,779,081
  5. Step 5: Solve for x
    x = 234,506,779,081/356,455
  6. Step 6: Final answer
    x = 657,886.07

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.