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Finding the Third Proportional to 528,637.50 and 851,188.50

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Solution

The third proportional to 528,637.50 and 851,188.50 is: 1,370,545.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    528,637.50 : 851,188.50 = 851,188.50 : x
  2. Step 2: Convert to fraction form
    528,637.50/851,188.50 = 851,188.50/x
  3. Step 3: Cross multiply
    528,637.50x = 851,188.50 × 851,188.50
  4. Step 4: Simplify right side
    528,637.50x = 724,521,862,532.25
  5. Step 5: Solve for x
    x = 724,521,862,532.25/528,637.50
  6. Step 6: Final answer
    x = 1,370,545.72

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.