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Finding the Third Proportional to 358,506 and 783,459

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Solution

The third proportional to 358,506 and 783,459 is: 1,712,127.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    358,506 : 783,459 = 783,459 : x
  2. Step 2: Convert to fraction form
    358,506/783,459 = 783,459/x
  3. Step 3: Cross multiply
    358,506x = 783,459 × 783,459
  4. Step 4: Simplify right side
    358,506x = 613,808,004,681
  5. Step 5: Solve for x
    x = 613,808,004,681/358,506
  6. Step 6: Final answer
    x = 1,712,127.56

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.