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Finding the Third Proportional to 370,978 and 556,547

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Solution

The third proportional to 370,978 and 556,547 is: 834,940.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    370,978 : 556,547 = 556,547 : x
  2. Step 2: Convert to fraction form
    370,978/556,547 = 556,547/x
  3. Step 3: Cross multiply
    370,978x = 556,547 × 556,547
  4. Step 4: Simplify right side
    370,978x = 309,744,563,209
  5. Step 5: Solve for x
    x = 309,744,563,209/370,978
  6. Step 6: Final answer
    x = 834,940.52

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.