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Finding the Third Proportional to 357,091 and 484,428

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Solution

The third proportional to 357,091 and 484,428 is: 657,172.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    357,091 : 484,428 = 484,428 : x
  2. Step 2: Convert to fraction form
    357,091/484,428 = 484,428/x
  3. Step 3: Cross multiply
    357,091x = 484,428 × 484,428
  4. Step 4: Simplify right side
    357,091x = 234,670,487,184
  5. Step 5: Solve for x
    x = 234,670,487,184/357,091
  6. Step 6: Final answer
    x = 657,172.79

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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.