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Finding the Third Proportional to 405,722.13 and 631,547.69

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Solution

The third proportional to 405,722.13 and 631,547.69 is: 983,068.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    405,722.13 : 631,547.69 = 631,547.69 : x
  2. Step 2: Convert to fraction form
    405,722.13/631,547.69 = 631,547.69/x
  3. Step 3: Cross multiply
    405,722.13x = 631,547.69 × 631,547.69
  4. Step 4: Simplify right side
    405,722.13x = 398,852,481,586.60
  5. Step 5: Solve for x
    x = 398,852,481,586.60/405,722.13
  6. Step 6: Final answer
    x = 983,068.11

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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.