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Finding the Third Proportional to 390,020 and 840,712

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Solution

The third proportional to 390,020 and 840,712 is: 1,812,206.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    390,020 : 840,712 = 840,712 : x
  2. Step 2: Convert to fraction form
    390,020/840,712 = 840,712/x
  3. Step 3: Cross multiply
    390,020x = 840,712 × 840,712
  4. Step 4: Simplify right side
    390,020x = 706,796,666,944
  5. Step 5: Solve for x
    x = 706,796,666,944/390,020
  6. Step 6: Final answer
    x = 1,812,206.21

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.