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Finding the Third Proportional to 456,475 and 712,348

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Solution

The third proportional to 456,475 and 712,348 is: 1,111,648.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    456,475 : 712,348 = 712,348 : x
  2. Step 2: Convert to fraction form
    456,475/712,348 = 712,348/x
  3. Step 3: Cross multiply
    456,475x = 712,348 × 712,348
  4. Step 4: Simplify right side
    456,475x = 507,439,673,104
  5. Step 5: Solve for x
    x = 507,439,673,104/456,475
  6. Step 6: Final answer
    x = 1,111,648.33

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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.