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Finding the Third Proportional to 83,478,854.25 and 109,774,325.25

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Solution

The third proportional to 83,478,854.25 and 109,774,325.25 is: 144,352,753.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,478,854.25 : 109,774,325.25 = 109,774,325.25 : x
  2. Step 2: Convert to fraction form
    83,478,854.25/109,774,325.25 = 109,774,325.25/x
  3. Step 3: Cross multiply
    83,478,854.25x = 109,774,325.25 × 109,774,325.25
  4. Step 4: Simplify right side
    83,478,854.25x = 12,050,402,484,092,788
  5. Step 5: Solve for x
    x = 12,050,402,484,092,788/83,478,854.25
  6. Step 6: Final answer
    x = 144,352,753.67

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.