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Finding the Third Proportional to 917,580 and 2,159,136

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Solution

The third proportional to 917,580 and 2,159,136 is: 5,080,612.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    917,580 : 2,159,136 = 2,159,136 : x
  2. Step 2: Convert to fraction form
    917,580/2,159,136 = 2,159,136/x
  3. Step 3: Cross multiply
    917,580x = 2,159,136 × 2,159,136
  4. Step 4: Simplify right side
    917,580x = 4,661,868,266,496
  5. Step 5: Solve for x
    x = 4,661,868,266,496/917,580
  6. Step 6: Final answer
    x = 5,080,612.34

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.