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Finding the Third Proportional to 423,416,513 and 917,191,755

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Solution

The third proportional to 423,416,513 and 917,191,755 is: 1,986,792,412.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    423,416,513 : 917,191,755 = 917,191,755 : x
  2. Step 2: Convert to fraction form
    423,416,513/917,191,755 = 917,191,755/x
  3. Step 3: Cross multiply
    423,416,513x = 917,191,755 × 917,191,755
  4. Step 4: Simplify right side
    423,416,513x = 841,240,715,439,980,032
  5. Step 5: Solve for x
    x = 841,240,715,439,980,032/423,416,513
  6. Step 6: Final answer
    x = 1,986,792,412.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.