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Finding the Third Proportional to 668,650 and 977,370

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Solution

The third proportional to 668,650 and 977,370 is: 1,428,628.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    668,650 : 977,370 = 977,370 : x
  2. Step 2: Convert to fraction form
    668,650/977,370 = 977,370/x
  3. Step 3: Cross multiply
    668,650x = 977,370 × 977,370
  4. Step 4: Simplify right side
    668,650x = 955,252,116,900
  5. Step 5: Solve for x
    x = 955,252,116,900/668,650
  6. Step 6: Final answer
    x = 1,428,628.01

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.