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Finding the Third Proportional to 287,708 and 425,984

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Solution

The third proportional to 287,708 and 425,984 is: 630,717.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,708 : 425,984 = 425,984 : x
  2. Step 2: Convert to fraction form
    287,708/425,984 = 425,984/x
  3. Step 3: Cross multiply
    287,708x = 425,984 × 425,984
  4. Step 4: Simplify right side
    287,708x = 181,462,368,256
  5. Step 5: Solve for x
    x = 181,462,368,256/287,708
  6. Step 6: Final answer
    x = 630,717.14

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.