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Finding the Third Proportional to 287,754.75 and 450,417.38

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Solution

The third proportional to 287,754.75 and 450,417.38 is: 705,030.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,754.75 : 450,417.38 = 450,417.38 : x
  2. Step 2: Convert to fraction form
    287,754.75/450,417.38 = 450,417.38/x
  3. Step 3: Cross multiply
    287,754.75x = 450,417.38 × 450,417.38
  4. Step 4: Simplify right side
    287,754.75x = 202,875,811,701.89
  5. Step 5: Solve for x
    x = 202,875,811,701.89/287,754.75
  6. Step 6: Final answer
    x = 705,030.28

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.