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Finding the Third Proportional to 287,769 and 426,072

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Solution

The third proportional to 287,769 and 426,072 is: 630,844.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,769 : 426,072 = 426,072 : x
  2. Step 2: Convert to fraction form
    287,769/426,072 = 426,072/x
  3. Step 3: Cross multiply
    287,769x = 426,072 × 426,072
  4. Step 4: Simplify right side
    287,769x = 181,537,349,184
  5. Step 5: Solve for x
    x = 181,537,349,184/287,769
  6. Step 6: Final answer
    x = 630,844.01

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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.