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Finding the Third Proportional to 358,288 and 535,560

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Solution

The third proportional to 358,288 and 535,560 is: 800,541.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,288 : 535,560 = 535,560 : x
  2. Step 2: Convert to fraction form
    358,288/535,560 = 535,560/x
  3. Step 3: Cross multiply
    358,288x = 535,560 × 535,560
  4. Step 4: Simplify right side
    358,288x = 286,824,513,600
  5. Step 5: Solve for x
    x = 286,824,513,600/358,288
  6. Step 6: Final answer
    x = 800,541.78

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.