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Finding the Third Proportional to 450,148 and 712,806

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Solution

The third proportional to 450,148 and 712,806 is: 1,128,722.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    450,148 : 712,806 = 712,806 : x
  2. Step 2: Convert to fraction form
    450,148/712,806 = 712,806/x
  3. Step 3: Cross multiply
    450,148x = 712,806 × 712,806
  4. Step 4: Simplify right side
    450,148x = 508,092,393,636
  5. Step 5: Solve for x
    x = 508,092,393,636/450,148
  6. Step 6: Final answer
    x = 1,128,722.98

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.