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Finding the Third Proportional to 287,330.84 and 609,686.16

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Solution

The third proportional to 287,330.84 and 609,686.16 is: 1,293,690.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    287,330.84 : 609,686.16 = 609,686.16 : x
  2. Step 2: Convert to fraction form
    287,330.84/609,686.16 = 609,686.16/x
  3. Step 3: Cross multiply
    287,330.84x = 609,686.16 × 609,686.16
  4. Step 4: Simplify right side
    287,330.84x = 371,717,209,122.90
  5. Step 5: Solve for x
    x = 371,717,209,122.90/287,330.84
  6. Step 6: Final answer
    x = 1,293,690.63

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.