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Finding the Third Proportional to 286,038.75 and 388,473

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Solution

The third proportional to 286,038.75 and 388,473 is: 527,590.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    286,038.75 : 388,473 = 388,473 : x
  2. Step 2: Convert to fraction form
    286,038.75/388,473 = 388,473/x
  3. Step 3: Cross multiply
    286,038.75x = 388,473 × 388,473
  4. Step 4: Simplify right side
    286,038.75x = 150,911,271,729
  5. Step 5: Solve for x
    x = 150,911,271,729/286,038.75
  6. Step 6: Final answer
    x = 527,590.31

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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.