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Finding the Third Proportional to 370,572 and 722,712

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Solution

The third proportional to 370,572 and 722,712 is: 1,409,476.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,572 : 722,712 = 722,712 : x
  2. Step 2: Convert to fraction form
    370,572/722,712 = 722,712/x
  3. Step 3: Cross multiply
    370,572x = 722,712 × 722,712
  4. Step 4: Simplify right side
    370,572x = 522,312,634,944
  5. Step 5: Solve for x
    x = 522,312,634,944/370,572
  6. Step 6: Final answer
    x = 1,409,476.80

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Why These Related Problems?

These problems maintain the same ratio (1.95) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.