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Finding the Third Proportional to 698,178 and 1,520,772

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Solution

The third proportional to 698,178 and 1,520,772 is: 3,312,547.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    698,178 : 1,520,772 = 1,520,772 : x
  2. Step 2: Convert to fraction form
    698,178/1,520,772 = 1,520,772/x
  3. Step 3: Cross multiply
    698,178x = 1,520,772 × 1,520,772
  4. Step 4: Simplify right side
    698,178x = 2,312,747,475,984
  5. Step 5: Solve for x
    x = 2,312,747,475,984/698,178
  6. Step 6: Final answer
    x = 3,312,547.05

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.