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Finding the Third Proportional to 920,624 and 1,243,832

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Solution

The third proportional to 920,624 and 1,243,832 is: 1,680,510.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    920,624 : 1,243,832 = 1,243,832 : x
  2. Step 2: Convert to fraction form
    920,624/1,243,832 = 1,243,832/x
  3. Step 3: Cross multiply
    920,624x = 1,243,832 × 1,243,832
  4. Step 4: Simplify right side
    920,624x = 1,547,118,044,224
  5. Step 5: Solve for x
    x = 1,547,118,044,224/920,624
  6. Step 6: Final answer
    x = 1,680,510.22

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.