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Finding the Third Proportional to 78,471,648 and 129,211,776

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Solution

The third proportional to 78,471,648 and 129,211,776 is: 212,760,703.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,471,648 : 129,211,776 = 129,211,776 : x
  2. Step 2: Convert to fraction form
    78,471,648/129,211,776 = 129,211,776/x
  3. Step 3: Cross multiply
    78,471,648x = 129,211,776 × 129,211,776
  4. Step 4: Simplify right side
    78,471,648x = 16,695,683,057,074,176
  5. Step 5: Solve for x
    x = 16,695,683,057,074,176/78,471,648
  6. Step 6: Final answer
    x = 212,760,703.80

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Why These Related Problems?

These problems maintain the same ratio (1.65) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.