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Finding the Third Proportional to 292,155 and 456,685

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Solution

The third proportional to 292,155 and 456,685 is: 713,871.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    292,155 : 456,685 = 456,685 : x
  2. Step 2: Convert to fraction form
    292,155/456,685 = 456,685/x
  3. Step 3: Cross multiply
    292,155x = 456,685 × 456,685
  4. Step 4: Simplify right side
    292,155x = 208,561,189,225
  5. Step 5: Solve for x
    x = 208,561,189,225/292,155
  6. Step 6: Final answer
    x = 713,871.71

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.