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Finding the Third Proportional to 506,285.50 and 712,154

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Solution

The third proportional to 506,285.50 and 712,154 is: 1,001,733.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    506,285.50 : 712,154 = 712,154 : x
  2. Step 2: Convert to fraction form
    506,285.50/712,154 = 712,154/x
  3. Step 3: Cross multiply
    506,285.50x = 712,154 × 712,154
  4. Step 4: Simplify right side
    506,285.50x = 507,163,319,716
  5. Step 5: Solve for x
    x = 507,163,319,716/506,285.50
  6. Step 6: Final answer
    x = 1,001,733.84

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.