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Finding the Third Proportional to 589,312 and 872,920

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Solution

The third proportional to 589,312 and 872,920 is: 1,293,015.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    589,312 : 872,920 = 872,920 : x
  2. Step 2: Convert to fraction form
    589,312/872,920 = 872,920/x
  3. Step 3: Cross multiply
    589,312x = 872,920 × 872,920
  4. Step 4: Simplify right side
    589,312x = 761,989,326,400
  5. Step 5: Solve for x
    x = 761,989,326,400/589,312
  6. Step 6: Final answer
    x = 1,293,015.12

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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.