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Finding the Third Proportional to 487,270.50 and 749,923.50

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Solution

The third proportional to 487,270.50 and 749,923.50 is: 1,154,154.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    487,270.50 : 749,923.50 = 749,923.50 : x
  2. Step 2: Convert to fraction form
    487,270.50/749,923.50 = 749,923.50/x
  3. Step 3: Cross multiply
    487,270.50x = 749,923.50 × 749,923.50
  4. Step 4: Simplify right side
    487,270.50x = 562,385,255,852.25
  5. Step 5: Solve for x
    x = 562,385,255,852.25/487,270.50
  6. Step 6: Final answer
    x = 1,154,154.12

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.