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Finding the Third Proportional to 689,319 and 1,009,948.50

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Solution

The third proportional to 689,319 and 1,009,948.50 is: 1,479,715.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    689,319 : 1,009,948.50 = 1,009,948.50 : x
  2. Step 2: Convert to fraction form
    689,319/1,009,948.50 = 1,009,948.50/x
  3. Step 3: Cross multiply
    689,319x = 1,009,948.50 × 1,009,948.50
  4. Step 4: Simplify right side
    689,319x = 1,019,995,972,652.25
  5. Step 5: Solve for x
    x = 1,019,995,972,652.25/689,319
  6. Step 6: Final answer
    x = 1,479,715.45

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.